Search a number
-
+
131012143414031 = 11531217184651321
BaseRepresentation
bin11101110010011110100100…
…010001001111101100001111
3122011212122020112102001200002
4131302132210101033230033
5114133000332203222111
61142350051531554515
736411213021604115
oct3562364421175417
9564778215361602
10131012143414031
1138820a35528890
121283b0458bba3b
1358145136197c9
14244d0432b5ab5
151022dd6e5d63b
hex7727a444fb0f

131012143414031 has 16 divisors (see below), whose sum is σ = 145738641007008. Its totient is φ = 116758722662400.

The previous prime is 131012143414001. The next prime is 131012143414049. The reversal of 131012143414031 is 130414341210131.

It is a cyclic number.

It is not a de Polignac number, because 131012143414031 - 226 = 131012076305167 is a prime.

It is a super-2 number, since 2×1310121434140312 (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 = 131012143413985 and 131012143414003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012143414001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91616150 + ... + 93035171.

It is an arithmetic number, because the mean of its divisors is an integer number (9108665062938).

Almost surely, 2131012143414031 is an apocalyptic number.

131012143414031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131012143414031 is a deficient number, since it is larger than the sum of its proper divisors (14726497592977).

131012143414031 is a wasteful number, since it uses less digits than its factorization.

131012143414031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184652602.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 131012143414031 its reverse (130414341210131), we get a palindrome (261426484624162).

The spelling of 131012143414031 in words is "one hundred thirty-one trillion, twelve billion, one hundred forty-three million, four hundred fourteen thousand, thirty-one".

Divisors: 1 11 53 583 1217 13387 64501 709511 184651321 2031164531 9786520013 107651720143 224720657657 2471927234227 11910194855821 131012143414031