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123313224137 is a prime number
BaseRepresentation
bin111001011011000001…
…0100111100111001001
3102210021220120211120112
41302312002213213021
54010021141133022
6132352130204105
711623550052665
oct1626602474711
9383256524515
10123313224137
114832a111494
121ba95423635
13b82274991c
145d7b3a58a5
15331acbb8e2
hex1cb60a79c9

123313224137 has 2 divisors, whose sum is σ = 123313224138. Its totient is φ = 123313224136.

The previous prime is 123313224131. The next prime is 123313224149. The reversal of 123313224137 is 731422313321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103763871376 + 19549352761 = 322124^2 + 139819^2 .

It is a cyclic number.

It is not a de Polignac number, because 123313224137 - 210 = 123313223113 is a prime.

It is not a weakly prime, because it can be changed into another prime (123313224131) 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, 61656612068 + 61656612069.

It is an arithmetic number, because the mean of its divisors is an integer number (61656612069).

Almost surely, 2123313224137 is an apocalyptic number.

It is an amenable number.

123313224137 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313224137 is an equidigital number, since it uses as much as digits as its factorization.

123313224137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 32.

Adding to 123313224137 its reverse (731422313321), we get a palindrome (854735537458).

The spelling of 123313224137 in words is "one hundred twenty-three billion, three hundred thirteen million, two hundred twenty-four thousand, one hundred thirty-seven".