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123040323817 is a prime number
BaseRepresentation
bin111001010010111000…
…1100101100011101001
3102202120220002001201021
41302211301211203221
54003441310330232
6132305101052441
711614024332145
oct1624561454351
9382526061637
10123040323817
11481aa067434
121ba19b57121
13b7ab049948
145d53048225
153301d62397
hex1ca5c658e9

123040323817 has 2 divisors, whose sum is σ = 123040323818. Its totient is φ = 123040323816.

The previous prime is 123040323733. The next prime is 123040323827. The reversal of 123040323817 is 718323040321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68045852736 + 54994471081 = 260856^2 + 234509^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123040323817 is a prime.

It is a super-4 number, since 4×1230403238174 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not a weakly prime, because it can be changed into another prime (123040323827) 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, 61520161908 + 61520161909.

It is an arithmetic number, because the mean of its divisors is an integer number (61520161909).

Almost surely, 2123040323817 is an apocalyptic number.

It is an amenable number.

123040323817 is a deficient number, since it is larger than the sum of its proper divisors (1).

123040323817 is an equidigital number, since it uses as much as digits as its factorization.

123040323817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 123040323817 in words is "one hundred twenty-three billion, forty million, three hundred twenty-three thousand, eight hundred seventeen".