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131404248175092 = 223131805271038043
BaseRepresentation
bin11101111000001011101111…
…100010001101000111110100
3122020021010022222200201220220
4131320023233202031013310
5114210411400013100332
61143250140033454340
736451433524226604
oct3570135742150764
9566233288621826
10131404248175092
1138962257436322
12128a3034a113b0
1358424a1334619
142463ddca80c04
15102d1d5651d2c
hex7782ef88d1f4

131404248175092 has 48 divisors (see below), whose sum is σ = 308954580329472. Its totient is φ = 43466472447840.

The previous prime is 131404248175091. The next prime is 131404248175133. The reversal of 131404248175092 is 290571842404131.

It is a super-2 number, since 2×1314042481750922 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131404248175091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126069423 + ... + 127107465.

It is an arithmetic number, because the mean of its divisors is an integer number (6436553756864).

Almost surely, 2131404248175092 is an apocalyptic number.

131404248175092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131404248175092 is an abundant number, since it is smaller than the sum of its proper divisors (177550332154380).

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

131404248175092 is a wasteful number, since it uses less digits than its factorization.

131404248175092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118708 (or 1118706 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 131404248175092 in words is "one hundred thirty-one trillion, four hundred four billion, two hundred forty-eight million, one hundred seventy-five thousand, ninety-two".

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1572 80527 161054 241581 322108 483162 966324 1038043 2076086 3114129 4152172 6228258 10549037 12456516 21098074 31647111 42196148 63294222 126588444 135983633 271967266 407950899 543934532 815901798 1631803596 83590488661 167180977322 250771465983 334361954644 501542931966 1003085863932 10950354014591 21900708029182 32851062043773 43801416058364 65702124087546 131404248175092