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123313218089 is a prime number
BaseRepresentation
bin111001011011000001…
…0100110001000101001
3102210021220120112021112
41302312002212020221
54010021140434324
6132352130120105
711623550026235
oct1626602461051
9383256515245
10123313218089
114832a107996
121ba95420035
13b822746c49
145d7b3a35c5
15331acb9c0e
hex1cb60a6229

123313218089 has 2 divisors, whose sum is σ = 123313218090. Its totient is φ = 123313218088.

The previous prime is 123313218071. The next prime is 123313218097. The reversal of 123313218089 is 980812313321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112922881600 + 10390336489 = 336040^2 + 101933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123313218089 is a prime.

It is a super-2 number, since 2×1233132180892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123313218389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656609044 + 61656609045.

It is an arithmetic number, because the mean of its divisors is an integer number (61656609045).

Almost surely, 2123313218089 is an apocalyptic number.

It is an amenable number.

123313218089 is a deficient number, since it is larger than the sum of its proper divisors (1).

123313218089 is an equidigital number, since it uses as much as digits as its factorization.

123313218089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 123313218089 in words is "one hundred twenty-three billion, three hundred thirteen million, two hundred eighteen thousand, eighty-nine".