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131141112042303 = 33111481298144879
BaseRepresentation
bin11101110100010110101011…
…011001100001001100111111
3122012022222010120122012021000
4131310112223121201030333
5114142103444140323203
61142525221205141343
736423430003056606
oct3564265331411477
9565288116565230
10131141112042303
11388706a69a7090
12128600390ba853
13582372791b9bc
1424553997c8a3d
1510264344954a3
hex7745ab66133f

131141112042303 has 32 divisors (see below), whose sum is σ = 212088341836800. Its totient is φ = 79425795499200.

The previous prime is 131141112042271. The next prime is 131141112042341. The reversal of 131141112042303 is 303240211141131.

131141112042303 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 411 + 12 + 0 + 4 + 230 + 3 = 666.

It is not a de Polignac number, because 131141112042303 - 25 = 131141112042271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131191112042303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148632583 + ... + 149512296.

It is an arithmetic number, because the mean of its divisors is an integer number (6627760682400).

Almost surely, 2131141112042303 is an apocalyptic number.

131141112042303 is a deficient number, since it is larger than the sum of its proper divisors (80947229794497).

131141112042303 is a wasteful number, since it uses less digits than its factorization.

131141112042303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298146380 (or 298146374 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131141112042303 its reverse (303240211141131), we get a palindrome (434381323183434).

The spelling of 131141112042303 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twelve million, forty-two thousand, three hundred three".

Divisors: 1 3 9 11 27 33 99 297 1481 4443 13329 16291 39987 48873 146619 439857 298144879 894434637 2683303911 3279593669 8049911733 9838781007 29516343021 88549029063 441552565799 1324657697397 3973973092191 4857078223789 11921919276573 14571234671367 43713704014101 131141112042303