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123310100313 = 3270919324573
BaseRepresentation
bin111001011010111011…
…0101100111101011001
3102210021200201010111100
41302311312230331121
54010014341202223
6132351535222013
711623511362431
oct1626566547531
9383250633440
10123310100313
1148328378514
121ba94377909
13b821bc4aca
145d7abd12c1
15331a8a1043
hex1cb5dacf59

123310100313 has 12 divisors (see below), whose sum is σ = 178365818020. Its totient is φ = 82090781856.

The previous prime is 123310100299. The next prime is 123310100317. The reversal of 123310100313 is 313001013321.

It is a happy number.

123310100313 is a `hidden beast` number, since 12 + 331 + 0 + 10 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54208411929 + 69101688384 = 232827^2 + 262872^2 .

It is not a de Polignac number, because 123310100313 - 213 = 123310092121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123310100317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9655906 + ... + 9668667.

Almost surely, 2123310100313 is an apocalyptic number.

It is an amenable number.

123310100313 is a deficient number, since it is larger than the sum of its proper divisors (55055717707).

123310100313 is a wasteful number, since it uses less digits than its factorization.

123310100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19325288 (or 19325285 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 123310100313 its reverse (313001013321), we get a palindrome (436311113634).

The spelling of 123310100313 in words is "one hundred twenty-three billion, three hundred ten million, one hundred thousand, three hundred thirteen".

Divisors: 1 3 9 709 2127 6381 19324573 57973719 173921157 13701122257 41103366771 123310100313