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22131432014013 = 327250184653093
BaseRepresentation
bin1010000100000111000000…
…01001001100000010111101
32220100202002112211110011200
411002003200021030002331
510400100133043422023
6115023012311210113
74442641342144200
oct502034011140275
986322075743150
1022131432014013
117062984452303
122595277976939
13c46ca62c9caa
1456724a45d937
15285a51792743
hex1420e024c0bd

22131432014013 has 18 divisors (see below), whose sum is σ = 37186827942654. Its totient is φ = 12646532579184.

The previous prime is 22131432014009. The next prime is 22131432014023. The reversal of 22131432014013 is 31041023413122.

22131432014013 is a `hidden beast` number, since 2 + 2 + 1 + 314 + 320 + 14 + 0 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19798246028484 + 2333185985529 = 4449522^2 + 1527477^2 .

It is not a de Polignac number, because 22131432014013 - 22 = 22131432014009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131432014023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25092326106 + ... + 25092326987.

It is an arithmetic number, because the mean of its divisors is an integer number (2065934885703).

Almost surely, 222131432014013 is an apocalyptic number.

It is an amenable number.

22131432014013 is a deficient number, since it is larger than the sum of its proper divisors (15055395928641).

22131432014013 is a wasteful number, since it uses less digits than its factorization.

22131432014013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50184653113 (or 50184653103 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22131432014013 its reverse (31041023413122), we get a palindrome (53172455427135).

The spelling of 22131432014013 in words is "twenty-two trillion, one hundred thirty-one billion, four hundred thirty-two million, fourteen thousand, thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 50184653093 150553959279 351292571651 451661877837 1053877714953 2459048001557 3161633144859 7377144004671 22131432014013