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131141140234401 = 31141611588953997
BaseRepresentation
bin11101110100010110101101…
…000101000100000010100001
3122012022222012112200111112210
4131310112231011010002201
5114142104023400000101
61142525224053312333
736423430464515403
oct3564265505040241
9565288175614483
10131141140234401
1138870710902240
12128600466356a9
13582373070cb0b
14245539d446b73
151026436bb37d6
hex7745ad1440a1

131141140234401 has 32 divisors (see below), whose sum is σ = 198606538118016. Its totient is φ = 76269791808000.

The previous prime is 131141140234393. The next prime is 131141140234421. The reversal of 131141140234401 is 104432041141131.

It is not a de Polignac number, because 131141140234401 - 23 = 131141140234393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131141140234421) 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, 794394466 + ... + 794559531.

It is an arithmetic number, because the mean of its divisors is an integer number (6206454316188).

Almost surely, 2131141140234401 is an apocalyptic number.

131141140234401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131141140234401 is a deficient number, since it is larger than the sum of its proper divisors (67465397883615).

131141140234401 is a wasteful number, since it uses less digits than its factorization.

131141140234401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588954113.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 131141140234401 its reverse (104432041141131), we get a palindrome (235573181375532).

The spelling of 131141140234401 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred forty million, two hundred thirty-four thousand, four hundred one".

Divisors: 1 3 11 33 41 61 123 183 451 671 1353 2013 2501 7503 27511 82533 1588953997 4766861991 17478493967 52435481901 65147113877 96926193817 195441341631 290778581451 716618252647 1066188131987 2149854757941 3198564395961 3973973946497 11921921839491 43713713411467 131141140234401