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123242400397 is a prime number
BaseRepresentation
bin111001011000111010…
…0011100101010001101
3102210002222022121200001
41302301310130222031
54004400023303042
6132341120204301
711622030055534
oct1626164345215
9383088277601
10123242400397
11482a3138576
121ba75769691
13b810b8019c
145d71c0b31b
15331497bbb7
hex1cb1d1ca8d

123242400397 has 2 divisors, whose sum is σ = 123242400398. Its totient is φ = 123242400396.

The previous prime is 123242400293. The next prime is 123242400403. The reversal of 123242400397 is 793004242321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111996646281 + 11245754116 = 334659^2 + 106046^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123242400397 is a prime.

It is a super-2 number, since 2×1232424003972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123242400097) 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, 61621200198 + 61621200199.

It is an arithmetic number, because the mean of its divisors is an integer number (61621200199).

Almost surely, 2123242400397 is an apocalyptic number.

It is an amenable number.

123242400397 is a deficient number, since it is larger than the sum of its proper divisors (1).

123242400397 is an equidigital number, since it uses as much as digits as its factorization.

123242400397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 123242400397 in words is "one hundred twenty-three billion, two hundred forty-two million, four hundred thousand, three hundred ninety-seven".