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131107502431031 = 73678596641489
BaseRepresentation
bin11101110011110111011000…
…000111000001101100110111
3122012012202101021020001002112
4131303313120013001230313
5114141031131110243111
61142501542150401235
736421130063066000
oct3563673007015467
9565182337201075
10131107502431031
113885841a17a745
121285561936021b
1358204cc78cb59
1424538cbc0c1a7
151025618a0be8b
hex773dd81c1b37

131107502431031 has 32 divisors (see below), whose sum is σ = 155357734080000. Its totient is φ = 110571689644416.

The previous prime is 131107502431021. The next prime is 131107502431057. The reversal of 131107502431031 is 130134205701131.

It is not a de Polignac number, because 131107502431031 - 242 = 126709455919927 is a prime.

It is a super-2 number, since 2×1311075024310312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131107502431021) 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, 16419935 + ... + 23061423.

It is an arithmetic number, because the mean of its divisors is an integer number (4854929190000).

Almost surely, 2131107502431031 is an apocalyptic number.

131107502431031 is a deficient number, since it is larger than the sum of its proper divisors (24250231648969).

131107502431031 is an frugal number, since it uses more digits than its factorization.

131107502431031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642436 (or 6642422 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 131107502431031 in words is "one hundred thirty-one trillion, one hundred seven billion, five hundred two million, four hundred thirty-one thousand, thirty-one".

Divisors: 1 7 49 67 343 469 859 3283 6013 22981 42091 57553 294637 402871 2820097 6641489 19740679 46490423 325432961 444979763 2278030727 3114858341 5705039051 21804008387 39935273357 152628058709 279546913499 382237616417 1956828394493 2675663314919 18729643204433 131107502431031