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131142410311311 = 3272297375080071
BaseRepresentation
bin11101110100010111111000…
…110010000001011010001111
3122012100002111001120002112100
4131310113320302001122033
5114142114124014430221
61142525554103410143
736423504116140500
oct3564277062013217
9565302431502470
10131142410311311
1138871202821883
121286033ba53953
1358238a389bb09
14245547ddb8ba7
1510264ad442926
hex7745f8c8168f

131142410311311 has 18 divisors (see below), whose sum is σ = 220354934333352. Its totient is φ = 74938520177640.

The previous prime is 131142410311279. The next prime is 131142410311337. The reversal of 131142410311311 is 113113014241131.

131142410311311 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 24 + 10 + 311 + 311 = 666.

It is not a de Polignac number, because 131142410311311 - 25 = 131142410311279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142410311811) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148687539595 + ... + 148687540476.

Almost surely, 2131142410311311 is an apocalyptic number.

131142410311311 is a deficient number, since it is larger than the sum of its proper divisors (89212524022041).

131142410311311 is a wasteful number, since it uses less digits than its factorization.

131142410311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297375080091 (or 297375080081 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 131142410311311 its reverse (113113014241131), we get a palindrome (244255424552442).

The spelling of 131142410311311 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred ten million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 441 297375080071 892125240213 2081625560497 2676375720639 6244876681491 14571378923479 18734630044473 43714136770437 131142410311311