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131060560631 = 721113171100249
BaseRepresentation
bin111101000001111010…
…0010111001011110111
3110112021211120022022012
41322003310113023313
54121403000420011
6140113002354435
712316542245600
oct1720364271367
9415254508265
10131060560631
11506452a7020
1221497abba1b
13c488826bc0
1464b429cda7
153621008a8b
hex1e83d172f7

131060560631 has 48 divisors (see below), whose sum is σ = 189647892000. Its totient is φ = 88723998720.

The previous prime is 131060560627. The next prime is 131060560669. The reversal of 131060560631 is 136065060131.

It is not a de Polignac number, because 131060560631 - 22 = 131060560627 is a prime.

It is a super-2 number, since 2×1310605606312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131060560531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431006 + ... + 669243.

It is an arithmetic number, because the mean of its divisors is an integer number (3950997750).

Almost surely, 2131060560631 is an apocalyptic number.

131060560631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131060560631 is a deficient number, since it is larger than the sum of its proper divisors (58587331369).

131060560631 is a wasteful number, since it uses less digits than its factorization.

131060560631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100304 (or 1100297 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 131060560631 in words is "one hundred thirty-one billion, sixty million, five hundred sixty thousand, six hundred thirty-one".

Divisors: 1 7 11 13 17 49 77 91 119 143 187 221 539 637 833 1001 1309 1547 2431 7007 9163 10829 17017 119119 1100249 7701743 12102739 14303237 18704233 53912201 84719173 100122659 130929631 157335607 205746563 243155029 593034211 700858613 916507417 1101349249 1440225941 1702085203 2674705319 7709444743 10081581587 11914596421 18722937233 131060560631