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123593964313 is a prime number
BaseRepresentation
bin111001100011011000…
…1100011101100011001
3102211000110211220200211
41303012301203230121
54011110023324223
6132440035331121
711633526235321
oct1630661435431
9384013756624
10123593964313
1148463630766
121bb53450aa1
13b868963181
145da67a4281
153335773d0d
hex1cc6c63b19

123593964313 has 2 divisors, whose sum is σ = 123593964314. Its totient is φ = 123593964312.

The previous prime is 123593964301. The next prime is 123593964337. The reversal of 123593964313 is 313469395321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87220990224 + 36372974089 = 295332^2 + 190717^2 .

It is an emirp because it is prime and its reverse (313469395321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123593964313 is a prime.

It is not a weakly prime, because it can be changed into another prime (123593968313) 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, 61796982156 + 61796982157.

It is an arithmetic number, because the mean of its divisors is an integer number (61796982157).

Almost surely, 2123593964313 is an apocalyptic number.

It is an amenable number.

123593964313 is a deficient number, since it is larger than the sum of its proper divisors (1).

123593964313 is an equidigital number, since it uses as much as digits as its factorization.

123593964313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1574640, while the sum is 49.

The spelling of 123593964313 in words is "one hundred twenty-three billion, five hundred ninety-three million, nine hundred sixty-four thousand, three hundred thirteen".