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131023312120031 = 3897732887150929
BaseRepresentation
bin11101110010101000111101…
…111110011110100011011111
3122011220201001220022010000212
4131302220331332132203133
5114133141220400320111
61142355140104043035
736412056550206152
oct3562507576364337
9564821056263025
10131023312120031
1138825746a14a21
121284124216347b
1358155a3492496
14244d7c273dc99
15102333c72498b
hex772a3df9e8df

131023312120031 has 16 divisors (see below), whose sum is σ = 131576499662400. Its totient is φ = 130471354111488.

The previous prime is 131023312120021. The next prime is 131023312120069. The reversal of 131023312120031 is 130021213320131.

It is a cyclic number.

It is not a de Polignac number, because 131023312120031 - 26 = 131023312119967 is a prime.

It is a super-2 number, since 2×1310233121200312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131023312119979 and 131023312120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023312120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868036775 + ... + 868187703.

It is an arithmetic number, because the mean of its divisors is an integer number (8223531228900).

Almost surely, 2131023312120031 is an apocalyptic number.

131023312120031 is a deficient number, since it is larger than the sum of its proper divisors (553187542369).

131023312120031 is a wasteful number, since it uses less digits than its factorization.

131023312120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154978.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 131023312120031 its reverse (130021213320131), we get a palindrome (261044525440162).

The spelling of 131023312120031 in words is "one hundred thirty-one trillion, twenty-three billion, three hundred twelve million, one hundred twenty thousand, thirty-one".

Divisors: 1 389 773 2887 150929 300697 1123043 2231651 58711381 116668117 435732023 868112239 45383897513 169499756947 336820853779 131023312120031