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131233103304100 = 225272683306722783
BaseRepresentation
bin11101110101101100010110…
…100000010101010110100100
3122012122202120121102111001021
4131311230112200111112210
5114200110343421212400
61143035353321140524
736433164431642260
oct3565542640252644
9565582517374037
10131233103304100
11388a6712636686
1212875a3092a744
13582c2c8148ba5
142459a04d490a0
151028a1a55a71a
hex775b168155a4

131233103304100 has 144 divisors (see below), whose sum is σ = 325699850764288. Its totient is φ = 44960798252160.

The previous prime is 131233103304089. The next prime is 131233103304113. The reversal of 131233103304100 is 1403301332131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5760121309 + ... + 5760144091.

Almost surely, 2131233103304100 is an apocalyptic number.

131233103304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131233103304100 is an abundant number, since it is smaller than the sum of its proper divisors (194466747460188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131233103304100 is a wasteful number, since it uses less digits than its factorization.

131233103304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28554 (or 28547 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131233103304100 its reverse (1403301332131), we get a palindrome (132636404636231).

The spelling of 131233103304100 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, one hundred three million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2683 3067 5366 6134 10732 12268 13415 15335 18781 21469 22783 26830 30670 37562 42938 45566 53660 61340 67075 75124 76675 85876 91132 93905 107345 113915 134150 153350 159481 187810 214690 227830 268300 306700 318962 375620 429380 455660 469525 536725 569575 637924 797405 939050 1073450 1139150 1594810 1878100 2146900 2278300 3189620 3987025 7974050 8228761 15948100 16457522 32915044 41143805 57601327 61126789 69875461 82287610 115202654 122253578 139750922 164575220 205719025 230405308 244507156 279501844 288006635 305633945 349377305 411438050 427887523 489128227 576013270 611267890 698754610 822876100 855775046 978256454 1152026540 1222535780 1397509220 1440033175 1528169725 1711550092 1746886525 1956512908 2139437615 2445641135 2880066350 3056339450 3493773050 4278875230 4891282270 5760132700 6112678900 6987546100 8557750460 9782564540 10697188075 12228205675 21394376150 24456411350 42788752300 48912822700 187475861863 374951723726 749903447452 937379309315 1312331033041 1874758618630 2624662066082 3749517237260 4686896546575 5249324132164 6561655165205 9373793093150 13123310330410 18747586186300 26246620660820 32808275826025 65616551652050 131233103304100