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131211545112131 = 1121012106302611
BaseRepresentation
bin11101110101011000010001…
…100010010110111001000011
3122012120200221011212212020212
4131311120101202112321003
5114144232221022042011
61143021430210224335
736431502256223531
oct3565302142267103
9565520834785225
10131211545112131
113889855a5a0a00
1212871814b850ab
13582a2709b5c93
14245895bb33151
1510281a7aed08b
hex775611896e43

131211545112131 has 18 divisors (see below), whose sum is σ = 145666362920988. Its totient is φ = 118102199710000.

The previous prime is 131211545112083. The next prime is 131211545112161.

It is a happy number.

131211545112131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131211545112131 - 234 = 131194365242947 is a prime.

It is a super-2 number, since 2×1312115451121312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131211545112161) 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 17 ways as a sum of consecutive naturals, for example, 51916985 + ... + 54385626.

Almost surely, 2131211545112131 is an apocalyptic number.

131211545112131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131211545112131 is a deficient number, since it is larger than the sum of its proper divisors (14454817808857).

131211545112131 is a wasteful number, since it uses less digits than its factorization.

131211545112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106302835 (or 106302723 counting only the distinct ones).

The product of its digits is 3600, while the sum is 32.

The spelling of 131211545112131 in words is "one hundred thirty-one trillion, two hundred eleven billion, five hundred forty-five million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 11 101 121 1111 10201 12221 112211 1234321 106302611 1169328721 10736563711 12862615931 118102200821 1084392934811 1299124209031 11928322282921 131211545112131