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131401776312 = 23341271596697
BaseRepresentation
bin111101001100000100…
…1111111110010111000
3110120011121121212020000
41322120021333302320
54123102323320222
6140210512033000
712331154445522
oct1723011776270
9416147555200
10131401776312
11507aa971454
1221572232760
13c511425981
146507720a12
153640e599ac
hex1e9827fcb8

131401776312 has 80 divisors (see below), whose sum is σ = 370944879360. Its totient is φ = 43455678336.

The previous prime is 131401776281. The next prime is 131401776313. The reversal of 131401776312 is 213677104131.

It is a happy number.

131401776312 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 17 + 7 + 631 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131401776313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 716053 + ... + 880644.

It is an arithmetic number, because the mean of its divisors is an integer number (4636810992).

Almost surely, 2131401776312 is an apocalyptic number.

131401776312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131401776312 is an abundant number, since it is smaller than the sum of its proper divisors (239543103048).

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

131401776312 is a wasteful number, since it uses less digits than its factorization.

131401776312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596842 (or 1596829 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 131401776312 in words is "one hundred thirty-one billion, four hundred one million, seven hundred seventy-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 508 648 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 10287 13716 20574 27432 41148 82296 1596697 3193394 4790091 6386788 9580182 12773576 14370273 19160364 28740546 38320728 43110819 57481092 86221638 114962184 129332457 172443276 202780519 258664914 344886552 405561038 517329828 608341557 811122076 1034659656 1216683114 1622244152 1825024671 2433366228 3650049342 4866732456 5475074013 7300098684 10950148026 14600197368 16425222039 21900296052 32850444078 43800592104 65700888156 131401776312