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123813607237 is a prime number
BaseRepresentation
bin111001101001111011…
…1011011011101000101
3102211120210010221010221
41303103313123131011
54012032240412422
6132513523144341
711642134203565
oct1632367333505
9384523127127
10123813607237
114856660a741
121bbb4b150b1
13b8a23071b8
145dc7a1ada5
153349bad3c7
hex1cd3ddb745

123813607237 has 2 divisors, whose sum is σ = 123813607238. Its totient is φ = 123813607236.

The previous prime is 123813607223. The next prime is 123813607249. The reversal of 123813607237 is 732706318321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78399440001 + 45414167236 = 279999^2 + 213106^2 .

It is a cyclic number.

It is not a de Polignac number, because 123813607237 - 235 = 89453868869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123813607193 and 123813607202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123813607297) 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 as a sum of consecutive naturals, namely, 61906803618 + 61906803619.

It is an arithmetic number, because the mean of its divisors is an integer number (61906803619).

Almost surely, 2123813607237 is an apocalyptic number.

It is an amenable number.

123813607237 is a deficient number, since it is larger than the sum of its proper divisors (1).

123813607237 is an equidigital number, since it uses as much as digits as its factorization.

123813607237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 123813607237 in words is "one hundred twenty-three billion, eight hundred thirteen million, six hundred seven thousand, two hundred thirty-seven".