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123100012313 is a prime number
BaseRepresentation
bin111001010100101010…
…1010001111100011001
3102202202001101112221022
41302221111101330121
54004102100343223
6132315032252225
711615350561115
oct1625125217431
9382661345838
10123100012313
114822a825273
121ba35b41075
13b7ba517b95
145d5ad44745
153307202ac8
hex1ca9551f19

123100012313 has 2 divisors, whose sum is σ = 123100012314. Its totient is φ = 123100012312.

The previous prime is 123100012297. The next prime is 123100012337. The reversal of 123100012313 is 313210001321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119884215049 + 3215797264 = 346243^2 + 56708^2 .

It is a cyclic number.

It is not a de Polignac number, because 123100012313 - 24 = 123100012297 is a prime.

It is a super-2 number, since 2×1231000123132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123100012291 and 123100012300.

It is not a weakly prime, because it can be changed into another prime (123100014313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61550006156 + 61550006157.

It is an arithmetic number, because the mean of its divisors is an integer number (61550006157).

Almost surely, 2123100012313 is an apocalyptic number.

It is an amenable number.

123100012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123100012313 is an equidigital number, since it uses as much as digits as its factorization.

123100012313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 123100012313 its reverse (313210001321), we get a palindrome (436310013634).

The spelling of 123100012313 in words is "one hundred twenty-three billion, one hundred million, twelve thousand, three hundred thirteen".