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131212230040431 = 32116321295888117
BaseRepresentation
bin11101110101011000111010…
…010111001001101101101111
3122012120202200220200211020200
4131311120322113021231233
5114144240121342243211
61143022022154444543
736431525244063201
oct3565307227115557
9565522626624220
10131212230040431
1138898881186751
1212871986433753
13582a34c8791b7
1424589c4aa6771
1510281e7ce4b56
hex77563a5c9b6f

131212230040431 has 24 divisors (see below), whose sum is σ = 189780873356880. Its totient is φ = 87358538432256.

The previous prime is 131212230040391. The next prime is 131212230040519. The reversal of 131212230040431 is 134040032212131.

131212230040431 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 223 + 0 + 0 + 4 + 0 + 431 = 666.

It is not a de Polignac number, because 131212230040431 - 214 = 131212230024047 is a prime.

It is a super-2 number, since 2×1312122300404312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131212230040395 and 131212230040404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212230040831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19340185 + ... + 25228301.

It is an arithmetic number, because the mean of its divisors is an integer number (7907536389870).

Almost surely, 2131212230040431 is an apocalyptic number.

131212230040431 is a deficient number, since it is larger than the sum of its proper divisors (58568643316449).

131212230040431 is a wasteful number, since it uses less digits than its factorization.

131212230040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891415 (or 5891412 counting only the distinct ones).

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

Adding to 131212230040431 its reverse (134040032212131), we get a palindrome (265252262252562).

The spelling of 131212230040431 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred thirty million, forty thousand, four hundred thirty-one".

Divisors: 1 3 9 1163 2129 3489 6387 10467 19161 2476027 5888117 7428081 17664351 22284243 52993053 6847880071 12535801093 20543640213 37607403279 61630920639 112822209837 14579136671159 43737410013477 131212230040431