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1310124311131 = 41269946312553
BaseRepresentation
bin10011000100001001011…
…111101000001001011011
311122020122211000202011111
4103010021133220021123
5132431113310424011
62441510210441151
7163440046621426
oct23041137501133
94566584022144
101310124311131
11465691022a79
12191ab1b931b7
139670c78ab9c
14475a602a9bd
152412cb8b121
hex131097e825b

1310124311131 has 16 divisors (see below), whose sum is σ = 1347317375040. Its totient is φ = 1273182497280.

The previous prime is 1310124311129. The next prime is 1310124311159. The reversal of 1310124311131 is 1311134210131.

It is a cyclic number.

It is not a de Polignac number, because 1310124311131 - 21 = 1310124311129 is a prime.

It is a super-2 number, since 2×13101243111312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310124311161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104361151 + ... + 104373703.

It is an arithmetic number, because the mean of its divisors is an integer number (84207335940).

Almost surely, 21310124311131 is an apocalyptic number.

1310124311131 is a deficient number, since it is larger than the sum of its proper divisors (37193063909).

1310124311131 is a wasteful number, since it uses less digits than its factorization.

1310124311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22326.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 1310124311131 its reverse (1311134210131), we get a palindrome (2621258521262).

The spelling of 1310124311131 in words is "one trillion, three hundred ten billion, one hundred twenty-four million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 41 269 9463 11029 12553 387983 514673 2545547 3376757 104367427 118789039 138447037 4870350599 31954251491 1310124311131