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122373992401 is a prime number
BaseRepresentation
bin111000111111000001…
…1101110111111010001
3102200212110020220211221
41301332003232333101
54001110220224101
6132115015205041
711561353526023
oct1617603567721
9380773226757
10122373992401
1147997a23811
121b872976781
13b702c982bb
145ccc756013
1532b35e0aa1
hex1c7e0eefd1

122373992401 has 2 divisors, whose sum is σ = 122373992402. Its totient is φ = 122373992400.

The previous prime is 122373992383. The next prime is 122373992467. The reversal of 122373992401 is 104299373221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114498317376 + 7875675025 = 338376^2 + 88745^2 .

It is a cyclic number.

It is not a de Polignac number, because 122373992401 - 211 = 122373990353 is a prime.

It is not a weakly prime, because it can be changed into another prime (122373992491) 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, 61186996200 + 61186996201.

It is an arithmetic number, because the mean of its divisors is an integer number (61186996201).

Almost surely, 2122373992401 is an apocalyptic number.

It is an amenable number.

122373992401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122373992401 is an equidigital number, since it uses as much as digits as its factorization.

122373992401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 122373992401 in words is "one hundred twenty-two billion, three hundred seventy-three million, nine hundred ninety-two thousand, four hundred one".