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131222857405332 = 2237211193134444841
BaseRepresentation
bin11101110101100010110011…
…110011010101001110010100
3122012121210010112221220020010
4131311202303303111032110
5114144423402443432312
61143030540512040220
736432352510146300
oct3565426363251624
9565553115856203
10131222857405332
11388a233503a250
1212873a51533070
13582b3545239b4
142459312296d00
15102861acc893c
hex7758b3cd5394

131222857405332 has 288 divisors, whose sum is σ = 422200072949760. Its totient is φ = 31248358848000.

The previous prime is 131222857405307. The next prime is 131222857405361. The reversal of 131222857405332 is 233504758222131.

It is a super-2 number, since 2×1312228574053322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13412769 + ... + 21032072.

It is an arithmetic number, because the mean of its divisors is an integer number (1465972475520).

Almost surely, 2131222857405332 is an apocalyptic number.

131222857405332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131222857405332 is an abundant number, since it is smaller than the sum of its proper divisors (290977215544428).

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

131222857405332 is a wasteful number, since it uses less digits than its factorization.

131222857405332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34444923 (or 34444914 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 131222857405332 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, eight hundred fifty-seven million, four hundred five thousand, three hundred thirty-two".