Search a number
-
+
31013402130 = 2325438013799
BaseRepresentation
bin11100111000100010…
…101111011000010010
32222001101012001202100
4130320202233120102
51002003412332010
622125232501230
72145353366004
oct347042573022
988041161670
1031013402130
1112175291057
1260163aa816
132c03315529
141702c84374
15c17aa62c0
hex7388af612

31013402130 has 48 divisors (see below), whose sum is σ = 82510084800. Its totient is φ = 8077908384.

The previous prime is 31013402083. The next prime is 31013402201. The reversal of 31013402130 is 3120431013.

31013402130 is a `hidden beast` number, since 310 + 1 + 340 + 2 + 13 + 0 = 666.

It is a super-2 number, since 2×310134021302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4003030 + ... + 4010769.

It is an arithmetic number, because the mean of its divisors is an integer number (1718960100).

Almost surely, 231013402130 is an apocalyptic number.

31013402130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31013402130 is an abundant number, since it is smaller than the sum of its proper divisors (51496682670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31013402130 is a wasteful number, since it uses less digits than its factorization.

31013402130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013855 (or 8013852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31013402130 its reverse (3120431013), we get a palindrome (34133833143).

The spelling of 31013402130 in words is "thirty-one billion, thirteen million, four hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 8013799 16027598 24041397 40068995 48082794 72124191 80137990 120206985 144248382 240413970 344593357 360620955 689186714 721241910 1033780071 1722966785 2067560142 3101340213 3445933570 5168900355 6202680426 10337800710 15506701065 31013402130