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122564021 is a prime number
BaseRepresentation
bin1110100111000…
…10110110110101
322112121220020012
413103202312311
5222334022041
620054550005
73015530336
oct723426665
9275556205
10122564021
1163203188
1235068305
131c513cb8
14123c628d
15ab603eb
hex74e2db5

122564021 has 2 divisors, whose sum is σ = 122564022. Its totient is φ = 122564020.

The previous prime is 122564011. The next prime is 122564027. The reversal of 122564021 is 120465221.

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., 112572100 + 9991921 = 10610^2 + 3161^2 .

It is a cyclic number.

It is not a de Polignac number, because 122564021 - 26 = 122563957 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122564027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61282010 + 61282011.

It is an arithmetic number, because the mean of its divisors is an integer number (61282011).

Almost surely, 2122564021 is an apocalyptic number.

It is an amenable number.

122564021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122564021 is an equidigital number, since it uses as much as digits as its factorization.

122564021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 122564021 is about 11070.8636067833. The cubic root of 122564021 is about 496.7306979190.

The spelling of 122564021 in words is "one hundred twenty-two million, five hundred sixty-four thousand, twenty-one".