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131141111200002 = 23250811433894369
BaseRepresentation
bin11101110100010110101011…
…010110010011100100000010
3122012022222010112001101211200
4131310112223112103210002
5114142103443431400002
61142525221135122030
736423426662651121
oct3564265326234402
9565288115041750
10131141111200002
11388706a6481272
1212860038973316
1358237276b54b7
142455399649ab8
15102643437ab1c
hex7745ab593902

131141111200002 has 24 divisors (see below), whose sum is σ = 284194996345260. Its totient is φ = 43705100336640.

The previous prime is 131141111199983. The next prime is 131141111200103. The reversal of 131141111200002 is 200002111141131.

131141111200002 is a `hidden beast` number, since 1 + 311 + 41 + 111 + 200 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97909817813721 + 33231293386281 = 9894939^2 + 5764659^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 716855727 + ... + 717038642.

Almost surely, 2131141111200002 is an apocalyptic number.

131141111200002 is an abundant number, since it is smaller than the sum of its proper divisors (153053885145258).

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

131141111200002 is a wasteful number, since it uses less digits than its factorization.

131141111200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433899458 (or 1433899455 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 131141111200002 its reverse (200002111141131), we get a palindrome (331143222341133).

The spelling of 131141111200002 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, two hundred thousand, two".

Divisors: 1 2 3 6 9 18 5081 10162 15243 30486 45729 91458 1433894369 2867788738 4301683107 8603366214 12905049321 25810098642 7285617288889 14571234577778 21856851866667 43713703733334 65570555600001 131141111200002