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131311230233031 = 3294211548682379
BaseRepresentation
bin11101110110110101000111…
…001110111010100111000111
3122012221020020102000200120200
4131312311013032322213013
5114202400344414424111
61143135314004301543
736441631460612262
oct3566650716724707
9565836212020520
10131311230233031
113892686420a742
1212888bb53a18b3
1358367991b8314
14245d6d7029cd9
15102aa8e38a256
hex776d473ba9c7

131311230233031 has 12 divisors (see below), whose sum is σ = 189691909996680. Its totient is φ = 87531528004560.

The previous prime is 131311230233021. The next prime is 131311230233089. The reversal of 131311230233031 is 130332032113131.

131311230233031 is a `hidden beast` number, since 1 + 3 + 1 + 311 + 23 + 0 + 23 + 303 + 1 = 666.

It is not a de Polignac number, because 131311230233031 - 26 = 131311230232967 is a prime.

It is a super-2 number, since 2×1313112302330312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131311230232986 and 131311230233004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311230233021) 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 11 ways as a sum of consecutive naturals, for example, 774256401 + ... + 774425978.

It is an arithmetic number, because the mean of its divisors is an integer number (15807659166390).

Almost surely, 2131311230233031 is an apocalyptic number.

131311230233031 is a deficient number, since it is larger than the sum of its proper divisors (58380679763649).

131311230233031 is a wasteful number, since it uses less digits than its factorization.

131311230233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548691806 (or 1548691803 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131311230233031 its reverse (130332032113131), we get a palindrome (261643262346162).

The spelling of 131311230233031 in words is "one hundred thirty-one trillion, three hundred eleven billion, two hundred thirty million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 9421 28263 84789 1548682379 4646047137 13938141411 14590136692559 43770410077677 131311230233031