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131023140032097 = 32167702712405637
BaseRepresentation
bin11101110010101000110011…
…101110000000111001100001
3122011220200121220111010202200
4131302220303232000321201
5114133140342322011342
61142355111035403413
736412052360403105
oct3562506356007141
9564820556433680
10131023140032097
1138825668866795
12128411b45b3569
13581557692b9c1
14244d7a7945905
15102332c58094c
hex772a33b80e61

131023140032097 has 24 divisors (see below), whose sum is σ = 190416023318976. Its totient is φ = 86813350541856.

The previous prime is 131023140032069. The next prime is 131023140032123. The reversal of 131023140032097 is 790230041320131.

131023140032097 is a `hidden beast` number, since 1 + 3 + 10 + 2 + 31 + 400 + 3 + 209 + 7 = 666.

It is not a de Polignac number, because 131023140032097 - 215 = 131023139999329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131023140032027) 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 23 ways as a sum of consecutive naturals, for example, 4358763 + ... + 16764399.

It is an arithmetic number, because the mean of its divisors is an integer number (7934000971624).

Almost surely, 2131023140032097 is an apocalyptic number.

It is an amenable number.

131023140032097 is a deficient number, since it is larger than the sum of its proper divisors (59392883286879).

131023140032097 is a wasteful number, since it uses less digits than its factorization.

131023140032097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412837 (or 12412834 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 131023140032097 in words is "one hundred thirty-one trillion, twenty-three billion, one hundred forty million, thirty-two thousand, ninety-seven".

Divisors: 1 3 9 167 501 1503 7027 21081 63243 1173509 3520527 10561581 12405637 37216911 111650733 2071741379 6215224137 18645672411 87174411199 261523233597 784569700791 14558126670233 43674380010699 131023140032097