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100,000,000

100,000,000 (one hundred million) is the natural number following 99,999,999 and preceding 100,000,001.

100000000
CardinalOne hundred million
Ordinal100000000th
(one hundred millionth)
Factorization28 × 58
Greek numeral
Roman numeralC
Binary1011111010111100001000000002
Ternary202220111120122013
Senary135312025446
Octal5753604008
Duodecimal295A645412
Hexadecimal5F5E10016

In scientific notation, it is written as 108.

East Asian languages treat 100,000,000 as a counting unit, significant as the square of a myriad, also a counting unit. In Chinese, Korean, and Japanese respectively it is yi (simplified Chinese: 亿; traditional Chinese: ; pinyin: ) (or Chinese: 萬萬; pinyin: wànwàn in ancient texts), eok (억/億) and oku (). These languages do not have single words for a thousand to the second, third, fifth powers, etc.

100,000,000 is also the fourth power of 100 and also the square of 10000.

Selected 9-digit numbers (100,000,001–999,999,999) edit

100,000,001 to 199,999,999 edit

  • 100,000,007 = smallest nine digit prime[1]
  • 100,005,153 = smallest triangular number with 9 digits and the 14,142nd triangular number
  • 100,020,001 = 100012, palindromic square
  • 100,544,625 = 4653, the smallest 9-digit cube
  • 102,030,201 = 101012, palindromic square
  • 102,334,155 = Fibonacci number
  • 102,400,000 = 405
  • 104,060,401 = 102012 = 1014, palindromic square
  • 104,636,890 = number of trees with 25 unlabeled nodes[2]
  • 105,413,504 = 147
  • 107,890,609 = Wedderburn-Etherington number[3]
  • 111,111,111 = repunit, square root of 12345678987654321
  • 111,111,113 = Chen prime, Sophie Germain prime, cousin prime.
  • 113,379,904 = 106482 = 4843 = 226
  • 115,856,201 = 415
  • 119,481,296 = logarithmic number[4]
  • 120,528,657 = number of centered hydrocarbons with 27 carbon atoms[5]
  • 121,242,121 = 110112, palindromic square
  • 122,522,400 = least number   such that  , where   = sum of divisors of m[6]
  • 123,454,321 = 111112, palindromic square
  • 123,456,789 = smallest zeroless base 10 pandigital number
  • 125,686,521 = 112112, palindromic square
  • 126,390,032 = number of 34-bead necklaces (turning over is allowed) where complements are equivalent[7]
  • 126,491,971 = Leonardo prime[8]
  • 129,140,163 = 317
  • 129,145,076 = Leyland number[9]
  • 129,644,790 = Catalan number[10]
  • 130,150,588 = number of 33-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[11]
  • 130,691,232 = 425
  • 134,217,728 = 5123 = 89 = 227
  • 134,218,457 = Leyland number[9]
  • 134,219,796 = number of 32-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple 32-stage cycling shift register; also number of binary irreducible polynomials whose degree divides 32[12]
  • 136,048,896 = 116642 = 1084
  • 139,854,276 = 118262, the smallest zeroless base 10 pandigital square
  • 142,547,559 = Motzkin number[13]
  • 147,008,443 = 435
  • 148,035,889 = 121672 = 5293 = 236
  • 157,115,917 – number of parallelogram polyominoes with 24 cells.[14]
  • 157,351,936 = 125442 = 1124
  • 164,916,224 = 445
  • 165,580,141 = Fibonacci number
  • 167,444,795 = cyclic number in base 6
  • 170,859,375 = 157
  • 171,794,492 = number of reduced trees with 36 nodes[15]
  • 177,264,449 = Leyland number[9]
  • 179,424,673 = 10,000,000th prime number
  • 184,528,125 = 455
  • 185,794,560 = double factorial of 18
  • 188,378,402 = number of ways to partition {1,2,...,11} and then partition each cell (block) into subcells.[16]
  • 190,899,322 = Bell number[17]
  • 191,102,976 = 138242 = 5763 = 246
  • 192,622,052 = number of free 18-ominoes
  • 199,960,004 = number of surface-points of a tetrahedron with edge-length 9999[18]

200,000,000 to 299,999,999 edit

  • 200,000,002 = number of surface-points of a tetrahedron with edge-length 10000[18]
  • 205,962,976 = 465
  • 210,295,326 = Fine number
  • 211,016,256 = number of primitive polynomials of degree 33 over GF(2)[19]
  • 212,890,625 = 1-automorphic number[20]
  • 214,358,881 = 146412 = 1214 = 118
  • 222,222,222 = repdigit
  • 222,222,227 = safe prime
  • 223,092,870 = the product of the first nine prime numbers, thus the ninth primorial
  • 225,058,681 = Pell number[21]
  • 225,331,713 = self-descriptive number in base 9
  • 229,345,007 = 475
  • 232,792,560 = superior highly composite number;[22] colossally abundant number;[23] the smallest number divisible by the numbers from 1 to 22 (there is no smaller number divisible by the numbers from 1 to 20 since any number divisible by 2, 3, 7 and 11 must also be divisible by 21 and 22)
  • 240,882,152 = number of signed trees with 16 nodes[24]
  • 244,140,625 = 156252 = 1253 = 256 = 512
  • 244,389,457 = Leyland number[9]
  • 244,330,711 = n such that n | (3n + 5)[25]
  • 245,492,244 = number of 35-bead necklaces (turning over is allowed) where complements are equivalent[7]
  • 252,648,992 = number of 34-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[11]
  • 253,450,711 = Wedderburn-Etherington prime[3]
  • 254,803,968 = 485
  • 260,301,176 = number of 33-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple 33-stage cycling shift register; also number of binary irreducible polynomials whose degree divides 33[26]
  • 267,914,296 = Fibonacci number
  • 268,435,456 = 163842 = 1284 = 167 = 414 = 228
  • 268,436,240 = Leyland number[9]
  • 268,473,872 = Leyland number[9]
  • 272,400,600 = the number of terms of the harmonic series required to pass 20
  • 275,305,224 = the number of magic squares of order 5, excluding rotations and reflections
  • 279,793,450 = number of trees with 26 unlabeled nodes[27]
  • 282,475,249 = 168072 = 495 = 710
  • 292,475,249 = Leyland number[9]

300,000,000 to 399,999,999 edit

  • 308,915,776 = 175762 = 6763 = 266
  • 309,576,725 = number of centered hydrocarbons with 28 carbon atoms[5]
  • 312,500,000 = 505
  • 321,534,781 = Markov prime
  • 331,160,281 = Leonardo prime[8]
  • 333,333,333 = repdigit
  • 336,849,900 = number of primitive polynomials of degree 34 over GF(2)[19]
  • 345,025,251 = 515
  • 350,238,175 = number of reduced trees with 37 nodes[15]
  • 362,802,072 – number of parallelogram polyominoes with 25 cells[14]
  • 364,568,617 = Leyland number[9]
  • 365,496,202 = n such that n | (3n + 5)[25]
  • 367,567,200 = colossally abundant number,[23] superior highly composite number[28]
  • 380,204,032 = 525
  • 381,654,729 = the only polydivisible number that is also a zeroless pandigital number
  • 387,420,489 = 196832 = 7293 = 276 = 99 = 318 and in tetration notation 29
  • 387,426,321 = Leyland number[9]

400,000,000 to 499,999,999 edit

  • 400,080,004 = 200022, palindromic square
  • 400,763,223 = Motzkin number[13]
  • 404,090,404 = 201022, palindromic square
  • 404,204,977 = number of prime numbers having ten digits[29]
  • 405,071,317 = 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
  • 410,338,673 = 177
  • 418,195,493 = 535
  • 429,981,696 = 207362 = 1444 = 128 = 100,000,00012 AKA a gross-great-great-gross (10012 great-great-grosses)
  • 433,494,437 = Fibonacci prime, Markov prime
  • 442,386,619 = alternating factorial[30]
  • 444,101,658 = number of (unordered, unlabeled) rooted trimmed trees with 27 nodes[31]
  • 444,444,444 = repdigit
  • 455,052,511 = number of primes under 1010
  • 459,165,024 = 545
  • 467,871,369 = number of triangle-free graphs on 14 vertices[32]
  • 477,353,376 = number of 36-bead necklaces (turning over is allowed) where complements are equivalent[7]
  • 477,638,700 = Catalan number[10]
  • 479,001,599 = factorial prime[33]
  • 479,001,600 = 12!
  • 481,890,304 = 219522 = 7843 = 286
  • 490,853,416 = number of 35-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[11]
  • 499,999,751 = Sophie Germain prime

500,000,000 to 599,999,999 edit

  • 503,284,375 = 555
  • 505,294,128 = number of 34-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple 34-stage cycling shift register; also number of binary irreducible polynomials whose degree divides 34[34]
  • 522,808,225 = 228652, palindromic square
  • 535,828,591 = Leonardo prime[8]
  • 536,870,911 = third composite Mersenne number with a prime exponent
  • 536,870,912 = 229
  • 536,871,753 = Leyland number[9]
  • 542,474,231 = k such that the sum of the squares of the first k primes is divisible by k.[35]
  • 543,339,720 = Pell number[21]
  • 550,731,776 = 565
  • 554,999,445 = a Kaprekar constant for digit length 9 in base 10
  • 555,555,555 = repdigit
  • 574,304,985 = 19 + 29 + 39 + 49 + 59 + 69 + 79 + 89 + 99[36]
  • 575,023,344 = 14-th derivative of xx at x=1[37]
  • 594,823,321 = 243892 = 8413 = 296
  • 596,572,387 = Wedderburn-Etherington prime[3]

600,000,000 to 699,999,999 edit

  • 601,692,057 = 575
  • 612,220,032 = 187
  • 617,323,716 = 248462, palindromic square
  • 635,318,657 = the smallest number that is the sum of two fourth powers in two different ways (594 + 1584 = 1334 + 1344), of which Euler was aware.
  • 644,972,544 = 8643, 3-smooth number
  • 654,729,075 = double factorial of 19
  • 656,356,768 = 585
  • 666,666,666 = repdigit
  • 670,617,279 = highest stopping time integer under 109 for the Collatz conjecture

700,000,000 to 799,999,999 edit

  • 701,408,733 = Fibonacci number
  • 714,924,299 = 595
  • 715,497,037 = number of reduced trees with 38 nodes[15]
  • 715,827,883 = Wagstaff prime,[38] Jacobsthal prime
  • 725,594,112 = number of primitive polynomials of degree 36 over GF(2)[19]
  • 729,000,000 = 270002 = 9003 = 306
  • 742,624,232 = number of free 19-ominoes
  • 751,065,460 = number of trees with 27 unlabeled nodes[39]
  • 774,840,978 = Leyland number[9]
  • 777,600,000 = 605
  • 777,777,777 = repdigit
  • 778,483,932 = Fine number
  • 780,291,637 = Markov prime
  • 787,109,376 = 1-automorphic number[20]
  • 797,790,928 = number of centered hydrocarbons with 29 carbon atoms[5]

800,000,000 to 899,999,999 edit

  • 810,810,000 – smallest number with exactly 1000 factors
  • 815,730,721 = 138
  • 815,730,721 = 1694
  • 835,210,000 = 1704
  • 837,759,792 – number of parallelogram polyominoes with 26 cells.[14]
  • 844,596,301 = 615
  • 855,036,081 = 1714
  • 875,213,056 = 1724
  • 887,503,681 = 316
  • 888,888,888 – repdigit
  • 893,554,688 = 2-automorphic number[40]
  • 893,871,739 = 197
  • 895,745,041 = 1734

900,000,000 to 999,999,999 edit

  • 906,150,257 = smallest counterexample to the Polya conjecture
  • 916,132,832 = 625
  • 923,187,456 = 303842, the largest zeroless pandigital square
  • 928,772,650 = number of 37-bead necklaces (turning over is allowed) where complements are equivalent[7]
  • 929,275,200 = number of primitive polynomials of degree 35 over GF(2)[19]
  • 942,060,249 = 306932, palindromic square
  • 981,706,832 = number of 35-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple 35-stage cycling shift register; also number of binary irreducible polynomials whose degree divides 35[41]
  • 987,654,321 = largest zeroless pandigital number
  • 992,436,543 = 635
  • 997,002,999 = 9993, the largest 9-digit cube
  • 999,950,884 = 316222, the largest 9-digit square
  • 999,961,560 = largest triangular number with 9 digits and the 44,720th triangular number
  • 999,999,937 = largest 9-digit prime number
  • 999,999,999 = repdigit

References edit

  1. ^ Sloane, N. J. A. (ed.). "Sequence A003617 (Smallest n-digit prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A000055 (Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ a b c Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A002104 (Logarithmic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ a b c Sloane, N. J. A. (ed.). "Sequence A000022 (Number of centered hydrocarbons with n atoms)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A134716 (least number m such that sigma(m)/m > n, where sigma(m) is the sum of divisors of m)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^ a b c d Sloane, N. J. A. (ed.). "Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ^ a b c Sloane, N. J. A. (ed.). "Sequence A145912 (Prime Leonardo numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ^ a b c d e f g h i j k Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers: 3, together with numbers expressible as n^k + k^n nontrivially, i.e., n,k > 1 (to avoid n = (n-1)^1 + 1^(n-1)))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  10. ^ a b Sloane, N. J. A. (ed.). "Sequence A000108 (Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  11. ^ a b c Sloane, N. J. A. (ed.). "Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  12. ^ Sloane, N. J. A. (ed.). "Sequence A000031 (Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  13. ^ a b Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  14. ^ a b c Sloane, N. J. A. (ed.). "Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  15. ^ a b c Sloane, N. J. A. (ed.). "Sequence A000014 (Number of series-reduced trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  16. ^ Sloane, N. J. A. (ed.). "Sequence A000258 (Expansion of e.g.f. exp(exp(exp(x)-1)-1))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  17. ^ Sloane, N. J. A. (ed.). "Sequence A000110 (Bell or exponential numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  18. ^ a b Sloane, N. J. A. (ed.). "Sequence A005893 (Number of points on surface of tetrahedron)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  19. ^ a b c d Sloane, N. J. A. (ed.). "Sequence A011260 (Number of primitive polynomials of degree n over GF(2))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  20. ^ a b Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  21. ^ a b Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  22. ^ Sloane, N. J. A. (ed.). "Sequence A002201 (Superior highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  23. ^ a b Sloane, N. J. A. (ed.). "Sequence A004490 (Colossally abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  24. ^ Sloane, N. J. A. (ed.). "Sequence A000060 (Number of signed trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  25. ^ a b Sloane, N. J. A. (ed.). "Sequence A277288 (Positive integers n such that n divides (3^n + 5))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  26. ^ Sloane, N. J. A. (ed.). "Sequence A000031 (Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  27. ^ Sloane, N. J. A. (ed.). "Sequence A000055 (Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  28. ^ Sloane, N. J. A. (ed.). "Sequence A002201 (Superior highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  29. ^ Sloane, N. J. A. (ed.). "Sequence A006879 (Number of primes with n digits)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  30. ^ Sloane, N. J. A. (ed.). "Sequence A005165 (Alternating factorials)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  31. ^ Sloane, N. J. A. (ed.). "Sequence A002955 (Number of (unordered, unlabeled) rooted trimmed trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  32. ^ Sloane, N. J. A. (ed.). "Sequence A006785 (Number of triangle-free graphs on n vertices)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  33. ^ Sloane, N. J. A. (ed.). "Sequence A088054 (Factorial primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  34. ^ Sloane, N. J. A. (ed.). "Sequence A000031 (Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  35. ^ Sloane, N. J. A. (ed.). "Sequence A111441 (Numbers k such that the sum of the squares of the first k primes is divisible by k)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  36. ^ Sloane, N. J. A. (ed.). "Sequence A031971 (Sum_{1..n} k^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  37. ^ Sloane, N. J. A. (ed.). "Sequence A005727 (n-th derivative of x^x at x equals 1. Also called Lehmer-Comtet numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  38. ^ Sloane, N. J. A. (ed.). "Sequence A000979 (Wagstaff primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  39. ^ Sloane, N. J. A. (ed.). "Sequence A000055 (Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  40. ^ Sloane, N. J. A. (ed.). "Sequence A030984 (2-automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  41. ^ Sloane, N. J. A. (ed.). "Sequence A000031 (Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

hundred, million, redirects, here, song, treble, charger, hundred, million, hundred, million, natural, number, following, preceding, 100000000list, numbersintegers, 109cardinalone, hundred, millionordinal100000000th, hundred, millionth, factorization28, 58gree. Hundred million redirects here For the song by Treble Charger see Hundred Million 100 000 000 one hundred million is the natural number following 99 999 999 and preceding 100 000 001 100000000List of numbersIntegers 100 101 102 103 104 105 106 107 108 109CardinalOne hundred millionOrdinal100000000th one hundred millionth Factorization28 58Greek numeralM a displaystyle stackrel alpha mathrm M Roman numeralCBinary1011111010111100001000000002Ternary202220111120122013Senary135312025446Octal5753604008Duodecimal295A645412Hexadecimal5F5E10016 In scientific notation it is written as 108 East Asian languages treat 100 000 000 as a counting unit significant as the square of a myriad also a counting unit In Chinese Korean and Japanese respectively it is yi simplified Chinese 亿 traditional Chinese 億 pinyin yi or Chinese 萬萬 pinyin wanwan in ancient texts eok 억 億 and oku 億 These languages do not have single words for a thousand to the second third fifth powers etc 100 000 000 is also the fourth power of 100 and also the square of 10000 Contents 1 Selected 9 digit numbers 100 000 001 999 999 999 1 1 100 000 001 to 199 999 999 1 2 200 000 000 to 299 999 999 1 3 300 000 000 to 399 999 999 1 4 400 000 000 to 499 999 999 1 5 500 000 000 to 599 999 999 1 6 600 000 000 to 699 999 999 1 7 700 000 000 to 799 999 999 1 8 800 000 000 to 899 999 999 1 9 900 000 000 to 999 999 999 2 ReferencesSelected 9 digit numbers 100 000 001 999 999 999 edit100 000 001 to 199 999 999 edit 100 000 007 smallest nine digit prime 1 100 005 153 smallest triangular number with 9 digits and the 14 142nd triangular number 100 020 001 100012 palindromic square 100 544 625 4653 the smallest 9 digit cube 102 030 201 101012 palindromic square 102 334 155 Fibonacci number 102 400 000 405 104 060 401 102012 1014 palindromic square 104 636 890 number of trees with 25 unlabeled nodes 2 105 413 504 147 107 890 609 Wedderburn Etherington number 3 111 111 111 repunit square root of 12345678987654321 111 111 113 Chen prime Sophie Germain prime cousin prime 113 379 904 106482 4843 226 115 856 201 415 119 481 296 logarithmic number 4 120 528 657 number of centered hydrocarbons with 27 carbon atoms 5 121 242 121 110112 palindromic square 122 522 400 least number m displaystyle m nbsp such that s m m gt 5 displaystyle frac sigma m m gt 5 nbsp where s m displaystyle sigma m nbsp sum of divisors of m 6 123 454 321 111112 palindromic square 123 456 789 smallest zeroless base 10 pandigital number 125 686 521 112112 palindromic square 126 390 032 number of 34 bead necklaces turning over is allowed where complements are equivalent 7 126 491 971 Leonardo prime 8 129 140 163 317 129 145 076 Leyland number 9 129 644 790 Catalan number 10 130 150 588 number of 33 bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed 11 130 691 232 425 134 217 728 5123 89 227 134 218 457 Leyland number 9 134 219 796 number of 32 bead necklaces with 2 colors when turning over is not allowed also number of output sequences from a simple 32 stage cycling shift register also number of binary irreducible polynomials whose degree divides 32 12 136 048 896 116642 1084 139 854 276 118262 the smallest zeroless base 10 pandigital square 142 547 559 Motzkin number 13 147 008 443 435 148 035 889 121672 5293 236 157 115 917 number of parallelogram polyominoes with 24 cells 14 157 351 936 125442 1124 164 916 224 445 165 580 141 Fibonacci number 167 444 795 cyclic number in base 6 170 859 375 157 171 794 492 number of reduced trees with 36 nodes 15 177 264 449 Leyland number 9 179 424 673 10 000 000th prime number 184 528 125 455 185 794 560 double factorial of 18 188 378 402 number of ways to partition 1 2 11 and then partition each cell block into subcells 16 190 899 322 Bell number 17 191 102 976 138242 5763 246 192 622 052 number of free 18 ominoes 199 960 004 number of surface points of a tetrahedron with edge length 9999 18 200 000 000 to 299 999 999 edit 200 000 002 number of surface points of a tetrahedron with edge length 10000 18 205 962 976 465 210 295 326 Fine number 211 016 256 number of primitive polynomials of degree 33 over GF 2 19 212 890 625 1 automorphic number 20 214 358 881 146412 1214 118 222 222 222 repdigit 222 222 227 safe prime 223 092 870 the product of the first nine prime numbers thus the ninth primorial 225 058 681 Pell number 21 225 331 713 self descriptive number in base 9 229 345 007 475 232 792 560 superior highly composite number 22 colossally abundant number 23 the smallest number divisible by the numbers from 1 to 22 there is no smaller number divisible by the numbers from 1 to 20 since any number divisible by 2 3 7 and 11 must also be divisible by 21 and 22 240 882 152 number of signed trees with 16 nodes 24 244 140 625 156252 1253 256 512 244 389 457 Leyland number 9 244 330 711 n such that n 3n 5 25 245 492 244 number of 35 bead necklaces turning over is allowed where complements are equivalent 7 252 648 992 number of 34 bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed 11 253 450 711 Wedderburn Etherington prime 3 254 803 968 485 260 301 176 number of 33 bead necklaces with 2 colors when turning over is not allowed also number of output sequences from a simple 33 stage cycling shift register also number of binary irreducible polynomials whose degree divides 33 26 267 914 296 Fibonacci number 268 435 456 163842 1284 167 414 228 268 436 240 Leyland number 9 268 473 872 Leyland number 9 272 400 600 the number of terms of the harmonic series required to pass 20 275 305 224 the number of magic squares of order 5 excluding rotations and reflections 279 793 450 number of trees with 26 unlabeled nodes 27 282 475 249 168072 495 710 292 475 249 Leyland number 9 300 000 000 to 399 999 999 edit 308 915 776 175762 6763 266 309 576 725 number of centered hydrocarbons with 28 carbon atoms 5 312 500 000 505 321 534 781 Markov prime 331 160 281 Leonardo prime 8 333 333 333 repdigit 336 849 900 number of primitive polynomials of degree 34 over GF 2 19 345 025 251 515 350 238 175 number of reduced trees with 37 nodes 15 362 802 072 number of parallelogram polyominoes with 25 cells 14 364 568 617 Leyland number 9 365 496 202 n such that n 3n 5 25 367 567 200 colossally abundant number 23 superior highly composite number 28 380 204 032 525 381 654 729 the only polydivisible number that is also a zeroless pandigital number 387 420 489 196832 7293 276 99 318 and in tetration notation 29 387 426 321 Leyland number 9 400 000 000 to 499 999 999 edit 400 080 004 200022 palindromic square 400 763 223 Motzkin number 13 404 090 404 201022 palindromic square 404 204 977 number of prime numbers having ten digits 29 405 071 317 11 22 33 44 55 66 77 88 99 410 338 673 177 418 195 493 535 429 981 696 207362 1444 128 100 000 00012 AKA a gross great great gross 10012 great great grosses 433 494 437 Fibonacci prime Markov prime 442 386 619 alternating factorial 30 444 101 658 number of unordered unlabeled rooted trimmed trees with 27 nodes 31 444 444 444 repdigit 455 052 511 number of primes under 1010 459 165 024 545 467 871 369 number of triangle free graphs on 14 vertices 32 477 353 376 number of 36 bead necklaces turning over is allowed where complements are equivalent 7 477 638 700 Catalan number 10 479 001 599 factorial prime 33 479 001 600 12 481 890 304 219522 7843 286 490 853 416 number of 35 bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed 11 499 999 751 Sophie Germain prime 500 000 000 to 599 999 999 edit 503 284 375 555 505 294 128 number of 34 bead necklaces with 2 colors when turning over is not allowed also number of output sequences from a simple 34 stage cycling shift register also number of binary irreducible polynomials whose degree divides 34 34 522 808 225 228652 palindromic square 535 828 591 Leonardo prime 8 536 870 911 third composite Mersenne number with a prime exponent 536 870 912 229 536 871 753 Leyland number 9 542 474 231 k such that the sum of the squares of the first k primes is divisible by k 35 543 339 720 Pell number 21 550 731 776 565 554 999 445 a Kaprekar constant for digit length 9 in base 10 555 555 555 repdigit 574 304 985 19 29 39 49 59 69 79 89 99 36 575 023 344 14 th derivative of xx at x 1 37 594 823 321 243892 8413 296 596 572 387 Wedderburn Etherington prime 3 600 000 000 to 699 999 999 edit 601 692 057 575 612 220 032 187 617 323 716 248462 palindromic square 635 318 657 the smallest number that is the sum of two fourth powers in two different ways 594 1584 1334 1344 of which Euler was aware 644 972 544 8643 3 smooth number 654 729 075 double factorial of 19 656 356 768 585 666 666 666 repdigit 670 617 279 highest stopping time integer under 109 for the Collatz conjecture 700 000 000 to 799 999 999 edit 701 408 733 Fibonacci number 714 924 299 595 715 497 037 number of reduced trees with 38 nodes 15 715 827 883 Wagstaff prime 38 Jacobsthal prime 725 594 112 number of primitive polynomials of degree 36 over GF 2 19 729 000 000 270002 9003 306 742 624 232 number of free 19 ominoes 751 065 460 number of trees with 27 unlabeled nodes 39 774 840 978 Leyland number 9 777 600 000 605 777 777 777 repdigit 778 483 932 Fine number 780 291 637 Markov prime 787 109 376 1 automorphic number 20 797 790 928 number of centered hydrocarbons with 29 carbon atoms 5 800 000 000 to 899 999 999 edit 810 810 000 smallest number with exactly 1000 factors 815 730 721 138 815 730 721 1694 835 210 000 1704 837 759 792 number of parallelogram polyominoes with 26 cells 14 844 596 301 615 855 036 081 1714 875 213 056 1724 887 503 681 316 888 888 888 repdigit 893 554 688 2 automorphic number 40 893 871 739 197 895 745 041 1734 900 000 000 to 999 999 999 edit 906 150 257 smallest counterexample to the Polya conjecture 916 132 832 625 923 187 456 303842 the largest zeroless pandigital square 928 772 650 number of 37 bead necklaces turning over is allowed where complements are equivalent 7 929 275 200 number of primitive polynomials of degree 35 over GF 2 19 942 060 249 306932 palindromic square 981 706 832 number of 35 bead necklaces with 2 colors when turning over is not allowed also number of output sequences from a simple 35 stage cycling shift register also number of binary irreducible polynomials whose degree divides 35 41 987 654 321 largest zeroless pandigital number 992 436 543 635 997 002 999 9993 the largest 9 digit cube 999 950 884 316222 the largest 9 digit square 999 961 560 largest triangular number with 9 digits and the 44 720th triangular number 999 999 937 largest 9 digit prime number 999 999 999 repdigitReferences edit Sloane N J A ed Sequence A003617 Smallest n digit prime The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000055 Number of trees with n unlabeled nodes The On Line Encyclopedia of Integer Sequences OEIS Foundation a b c Sloane N J A ed Sequence A001190 Wedderburn Etherington numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A002104 Logarithmic numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation a b c Sloane N J A ed Sequence A000022 Number of centered hydrocarbons with n atoms The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A134716 least number m such that sigma m m gt n where sigma m is the sum of divisors of m The On Line Encyclopedia of Integer Sequences OEIS Foundation a b c d Sloane N J A ed Sequence A000011 Number of n bead necklaces turning over is allowed where complements are equivalent The On Line Encyclopedia of Integer Sequences OEIS Foundation a b c Sloane N J A ed Sequence A145912 Prime Leonardo numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation a b c d e f g h i j k Sloane N J A ed Sequence A076980 Leyland numbers 3 together with numbers expressible as n k k n nontrivially i e n k gt 1 to avoid n n 1 1 1 n 1 The On Line Encyclopedia of Integer Sequences OEIS Foundation a b Sloane N J A ed Sequence A000108 Catalan numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation a b c Sloane N J A ed Sequence A000013 Definition 1 Number of n bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000031 Number of n bead necklaces with 2 colors when turning over is not allowed also number of output sequences from a simple n stage cycling shift register also number of binary irreducible polynomials whose degree divides n The On Line Encyclopedia of Integer Sequences OEIS Foundation a b Sloane N J A ed Sequence A001006 Motzkin numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation a b c Sloane N J A ed Sequence A006958 Number of parallelogram polyominoes with n cells also called staircase polyominoes although that term is overused The On Line Encyclopedia of Integer Sequences OEIS Foundation a b c Sloane N J A ed Sequence A000014 Number of series reduced trees with n nodes The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000258 Expansion of e g f exp exp exp x 1 1 The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000110 Bell or exponential numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation a b Sloane N J A ed Sequence A005893 Number of points on surface of tetrahedron The On Line Encyclopedia of Integer Sequences OEIS Foundation a b c d Sloane N J A ed Sequence A011260 Number of primitive polynomials of degree n over GF 2 The On Line Encyclopedia of Integer Sequences OEIS Foundation a b Sloane N J A ed Sequence A003226 Automorphic numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation a b Sloane N J A ed Sequence A000129 Pell numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A002201 Superior highly composite numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation a b Sloane N J A ed Sequence A004490 Colossally abundant numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000060 Number of signed trees with n nodes The On Line Encyclopedia of Integer Sequences OEIS Foundation a b Sloane N J A ed Sequence A277288 Positive integers n such that n divides 3 n 5 The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000031 Number of n bead necklaces with 2 colors when turning over is not allowed also number of output sequences from a simple n stage cycling shift register also number of binary irreducible polynomials whose degree divides n The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000055 Number of trees with n unlabeled nodes The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A002201 Superior highly composite numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A006879 Number of primes with n digits The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A005165 Alternating factorials The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A002955 Number of unordered unlabeled rooted trimmed trees with n nodes The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A006785 Number of triangle free graphs on n vertices The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A088054 Factorial primes The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000031 Number of n bead necklaces with 2 colors when turning over is not allowed also number of output sequences from a simple n stage cycling shift register also number of binary irreducible polynomials whose degree divides n The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A111441 Numbers k such that the sum of the squares of the first k primes is divisible by k The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A031971 Sum 1 n k n The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A005727 n th derivative of x x at x equals 1 Also called Lehmer Comtet numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000979 Wagstaff primes The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000055 Number of trees with n unlabeled nodes The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A030984 2 automorphic numbers The On Line Encyclopedia of Integer Sequences OEIS Foundation Sloane N J A ed Sequence A000031 Number of n bead necklaces with 2 colors when turning over is not allowed also number of output sequences from a simple n stage cycling shift register also number of binary irreducible polynomials whose degree divides n The On Line Encyclopedia of Integer Sequences OEIS Foundation Retrieved from https en wikipedia org w index php title 100 000 000 amp oldid 1223672366, wikipedia, wiki, book, books, library,

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