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131032013211231 = 3119747985458689
BaseRepresentation
bin11101110010110001000100…
…100110100000011001011111
3122011221112112021221100020220
4131302301010212200121133
5114133312030340224411
61142403135330412423
736412515303234036
oct3562610446403137
9564845467840226
10131032013211231
1138829401507590
1212842a70131113
13581635c037562
14244ddaa18771d
15102369b55ab06
hex772c449a065f

131032013211231 has 32 divisors (see below), whose sum is σ = 192958885324800. Its totient is φ = 78430565498880.

The previous prime is 131032013211193. The next prime is 131032013211247. The reversal of 131032013211231 is 132112310230131.

It is not a de Polignac number, because 131032013211231 - 215 = 131032013178463 is a prime.

It is a super-2 number, since 2×1310320132112312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131032013211331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41196066 + ... + 44262623.

It is an arithmetic number, because the mean of its divisors is an integer number (6029965166400).

Almost surely, 2131032013211231 is an apocalyptic number.

131032013211231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131032013211231 is a deficient number, since it is larger than the sum of its proper divisors (61926872113569).

131032013211231 is a wasteful number, since it uses less digits than its factorization.

131032013211231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85459279.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131032013211231 its reverse (132112310230131), we get a palindrome (263144323441362).

The spelling of 131032013211231 in words is "one hundred thirty-one trillion, thirty-two billion, thirteen million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 11 33 97 291 479 1067 1437 3201 5269 15807 46463 139389 511093 1533279 85458689 256376067 940045579 2820136737 8289492833 24868478499 40934712031 91184421163 122804136093 273553263489 450281832341 1350845497023 3970667067007 11912001201021 43677337737077 131032013211231