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131042311105332 = 223113124731770883
BaseRepresentation
bin11101110010111010101010…
…011001110110101100110100
3122011222112002222020120021010
4131302322222121312230310
5114133444123120332312
61142412001234152220
736413331426004644
oct3562725231665464
9564875088216233
10131042311105332
1138832806397870
1212844a64a22670
135817310666113
1424506a5ad2524
151023aa065d93c
hex772eaa676b34

131042311105332 has 48 divisors (see below), whose sum is σ = 333572931965952. Its totient is φ = 39708519158880.

The previous prime is 131042311105273. The next prime is 131042311105397. The reversal of 131042311105332 is 233501113240131.

It is a self number, because there is not a number n which added to its sum of digits gives 131042311105332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11760838 + ... + 20010045.

It is an arithmetic number, because the mean of its divisors is an integer number (6949436082624).

Almost surely, 2131042311105332 is an apocalyptic number.

131042311105332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131042311105332 is an abundant number, since it is smaller than the sum of its proper divisors (202530620860620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131042311105332 is a wasteful number, since it uses less digits than its factorization.

131042311105332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31802148 (or 31802146 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 131042311105332 its reverse (233501113240131), we get a palindrome (364543424345463).

The spelling of 131042311105332 in words is "one hundred thirty-one trillion, forty-two billion, three hundred eleven million, one hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 31247 62494 93741 124988 187482 343717 374964 687434 1031151 1374868 2062302 4124604 31770883 63541766 95312649 127083532 190625298 349479713 381250596 698959426 1048439139 1397918852 2096878278 4193756556 992744781101 1985489562202 2978234343303 3970979124404 5956468686606 10920192592111 11912937373212 21840385184222 32760577776333 43680770368444 65521155552666 131042311105332