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131141342031372 = 223219797240560989
BaseRepresentation
bin11101110100010110111001…
…000110110110111000001100
3122012022222201121101211221200
4131310112321012312320030
5114142104432030000442
61142525300102425500
736423435464665641
oct3564267106667014
9565288647354850
10131141342031372
11388708048022a2
12128600a2132290
135823763475cca
1424553bc175dc8
15102644977534c
hex7745b91b6e0c

131141342031372 has 72 divisors (see below), whose sum is σ = 349381159436400. Its totient is φ = 41361094032768.

The previous prime is 131141342031331. The next prime is 131141342031373. The reversal of 131141342031372 is 273130243141131.

It is a happy number.

131141342031372 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 413 + 4 + 203 + 1 + 37 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131141342031373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119735347 + ... + 120825642.

Almost surely, 2131141342031372 is an apocalyptic number.

131141342031372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131141342031372 is an abundant number, since it is smaller than the sum of its proper divisors (218239817405028).

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

131141342031372 is a wasteful number, since it uses less digits than its factorization.

131141342031372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240561815 (or 240561810 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 131141342031372 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty-two million, thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 797 1594 2391 3188 4782 7173 9564 14346 15143 28692 30286 45429 60572 90858 136287 181716 272574 545148 240560989 481121978 721682967 962243956 1443365934 2165048901 2886731868 4330097802 4570658791 8660195604 9141317582 13711976373 18282635164 27423952746 41135929119 54847905492 82271858238 164543716476 191727108233 383454216466 575181324699 766908432932 1150362649398 1725543974097 2300725298796 3451087948194 3642815056427 6902175896388 7285630112854 10928445169281 14571260225708 21856890338562 32785335507843 43713780677124 65570671015686 131141342031372