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123130112313 = 31319166167493
BaseRepresentation
bin111001010101100100…
…0000110100100111001
3102202211011000210101010
41302223020012210321
54004132302043223
6132322025344133
711616164454165
oct1625310064471
9382734023333
10123130112313
11482458138aa
121ba44038049
13b7c3826530
145d60d3bca5
153309b9b393
hex1cab206939

123130112313 has 16 divisors (see below), whose sum is σ = 186107593280. Its totient is φ = 71784356544.

The previous prime is 123130112233. The next prime is 123130112341. The reversal of 123130112313 is 313211031321.

It is a happy number.

It is not a de Polignac number, because 123130112313 - 218 = 123129850169 is a prime.

It is a super-2 number, since 2×1231301123132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123130112313.

It is not an unprimeable number, because it can be changed into a prime (123130112113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83083006 + ... + 83084487.

It is an arithmetic number, because the mean of its divisors is an integer number (11631724580).

Almost surely, 2123130112313 is an apocalyptic number.

123130112313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123130112313 is a deficient number, since it is larger than the sum of its proper divisors (62977480967).

123130112313 is a wasteful number, since it uses less digits than its factorization.

123130112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166167528.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 123130112313 its reverse (313211031321), we get a palindrome (436341143634).

The spelling of 123130112313 in words is "one hundred twenty-three billion, one hundred thirty million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 13 19 39 57 247 741 166167493 498502479 2160177409 3157182367 6480532227 9471547101 41043370771 123130112313