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131222014013331 = 32130747292358953
BaseRepresentation
bin11101110101100010000001…
…100010000010111110010011
3122012121200221202222010220100
4131311202001202002332103
5114144420141041411311
61143030321103143443
736432322556346423
oct3565420142027623
9565550852863810
10131222014013331
11388a1a41a6136a
1212873856ba4b83
13582b24b88a387
142459272274483
1510285bbc2ea56
hex775881882f93

131222014013331 has 24 divisors (see below), whose sum is σ = 189728122549680. Its totient is φ = 87395887938816.

The previous prime is 131222014013269. The next prime is 131222014013359. The reversal of 131222014013331 is 133310410222131.

131222014013331 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 220 + 1 + 401 + 3 + 3 + 31 = 666.

It is not a de Polignac number, because 131222014013331 - 210 = 131222014012307 is a prime.

It is a super-2 number, since 2×1312220140133312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131222014013295 and 131222014013304.

It is not an unprimeable number, because it can be changed into a prime (131222014013131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54447751 + ... + 56806703.

It is an arithmetic number, because the mean of its divisors is an integer number (7905338439570).

Almost surely, 2131222014013331 is an apocalyptic number.

131222014013331 is a deficient number, since it is larger than the sum of its proper divisors (58506108536349).

131222014013331 is a wasteful number, since it uses less digits than its factorization.

131222014013331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364995 (or 2364992 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131222014013331 its reverse (133310410222131), we get a palindrome (264532424235462).

The spelling of 131222014013331 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, fourteen million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 1307 3921 4729 11763 14187 42561 2358953 6180803 7076859 18542409 21230577 55627227 3083151571 9249454713 11155488737 27748364139 33466466211 100399398633 14580223779259 43740671337777 131222014013331