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131231132131 = 1122347154557
BaseRepresentation
bin111101000110111111…
…1000010100111100011
3110112201201112020102011
41322031333002213203
54122230132212011
6140141534333351
712324013134601
oct1721577024743
9415651466364
10131231132131
1150722609a00
122152505a257
13c4b4c79398
1464ccbc0871
153630e9d621
hex1e8dfc29e3

131231132131 has 12 divisors (see below), whose sum is σ = 150517349136. Its totient is φ = 114114025520.

The previous prime is 131231132113. The next prime is 131231132147.

131231132131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131231132131 - 27 = 131231132003 is a prime.

It is a super-2 number, since 2×1312311321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131231132191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23574496 + ... + 23580061.

It is an arithmetic number, because the mean of its divisors is an integer number (12543112428).

Almost surely, 2131231132131 is an apocalyptic number.

131231132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131231132131 is a deficient number, since it is larger than the sum of its proper divisors (19286217005).

131231132131 is a wasteful number, since it uses less digits than its factorization.

131231132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47154602 (or 47154591 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

It can be divided in two parts, 131231 and 132131, that added together give a palindrome (263362).

The spelling of 131231132131 in words is "one hundred thirty-one billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 23 121 253 2783 47154557 518700127 1084554811 5705701397 11930102921 131231132131