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131131130000312 = 23133673435630109
BaseRepresentation
bin11101110100001101011000…
…011011000011001110111000
3122012022000100220122220220002
4131310031120123003032320
5114141423023240002222
61142520450503252132
736422624434110431
oct3564153033031670
9565260326586802
10131131130000312
1138867444338202
121285a11214a048
1358227c687b390
142454acdbbc488
15102604ce83392
hex7743586c33b8

131131130000312 has 32 divisors (see below), whose sum is σ = 265505494900800. Its totient is φ = 60357149737344.

The previous prime is 131131130000291. The next prime is 131131130000383. The reversal of 131131130000312 is 213000031131131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1717776887 + ... + 1717853222.

It is an arithmetic number, because the mean of its divisors is an integer number (8297046715650).

Almost surely, 2131131130000312 is an apocalyptic number.

It is an amenable number.

131131130000312 is an abundant number, since it is smaller than the sum of its proper divisors (134374364900488).

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

131131130000312 is a wasteful number, since it uses less digits than its factorization.

131131130000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435630495 (or 3435630491 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131131130000312 its reverse (213000031131131), we get a palindrome (344131161131443).

The spelling of 131131130000312 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 104 367 734 1468 2936 4771 9542 19084 38168 3435630109 6871260218 13742520436 27485040872 44663191417 89326382834 178652765668 357305531336 1260876250003 2521752500006 5043505000012 10087010000024 16391391250039 32782782500078 65565565000156 131131130000312