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131255624282113 = 2774791181837631
BaseRepresentation
bin11101110110000001010100…
…110111000011000000000001
3122012201220201010121201000001
4131312001110313003000001
5114200443004304011423
61143054000144000001
736434622505046302
oct3566012467030001
9565656633551001
10131255624282113
113890521a097801
121287a277000001
135831476bb9596
14245ab3dd827a9
1510293d7797cad
hex776054dc3001

131255624282113 has 16 divisors (see below), whose sum is σ = 132116411842560. Its totient is φ = 130398083755200.

The previous prime is 131255624282071. The next prime is 131255624282201. The reversal of 131255624282113 is 311282426552131.

It is a cyclic number.

It is not a de Polignac number, because 131255624282113 - 29 = 131255624281601 is a prime.

It is a super-2 number, since 2×1312556242821132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131255624202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156279808 + ... + 157117438.

It is an arithmetic number, because the mean of its divisors is an integer number (8257275740160).

Almost surely, 2131255624282113 is an apocalyptic number.

It is an amenable number.

131255624282113 is a deficient number, since it is larger than the sum of its proper divisors (860787560447).

131255624282113 is a wasteful number, since it uses less digits than its factorization.

131255624282113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839568.

The product of its digits is 691200, while the sum is 46.

The spelling of 131255624282113 in words is "one hundred thirty-one trillion, two hundred fifty-five billion, six hundred twenty-four million, two hundred eighty-two thousand, one hundred thirteen".

Divisors: 1 277 479 1181 132683 327137 565699 837631 156698623 232023787 401225249 989242211 111139393973 274020092447 473847019069 131255624282113