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131231120031 = 3311240168693
BaseRepresentation
bin111101000110111111…
…0111111101010011111
3110112201201111121211000
41322031332333222133
54122230131320111
6140141534201343
712324013054404
oct1721576775237
9415651447730
10131231120031
1150722600900
1221525053253
13c4b4c73a1b
1464ccbba2ab
153630e99c56
hex1e8dfbfa9f

131231120031 has 24 divisors (see below), whose sum is σ = 213697452080. Its totient is φ = 79534010160.

The previous prime is 131231120021. The next prime is 131231120113. The reversal of 131231120031 is 130021132131.

It is not a de Polignac number, because 131231120031 - 26 = 131231119967 is a prime.

It is a super-2 number, since 2×1312311200312 (a number of 23 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 = 131231119986 and 131231120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131231120021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20081080 + ... + 20087613.

Almost surely, 2131231120031 is an apocalyptic number.

131231120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131231120031 is a deficient number, since it is larger than the sum of its proper divisors (82466332049).

131231120031 is a wasteful number, since it uses less digits than its factorization.

131231120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40168724 (or 40168707 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131231120031 its reverse (130021132131), we get a palindrome (261252252162).

The spelling of 131231120031 in words is "one hundred thirty-one billion, two hundred thirty-one million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 40168693 120506079 361518237 441855623 1084554711 1325566869 3976700607 4860411853 11930101821 14581235559 43743706677 131231120031