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122312220389 is a prime number
BaseRepresentation
bin111000111101001100…
…0000101111011100101
3102200201011000120120122
41301322120011323211
54000443412023024
6132104531211325
711560003501502
oct1617230057345
9380634016518
10122312220389
1147966072567
121b856146b45
13b6c324a908
145cc44764a9
1532ace8cd5e
hex1c7a605ee5

122312220389 has 2 divisors, whose sum is σ = 122312220390. Its totient is φ = 122312220388.

The previous prime is 122312220307. The next prime is 122312220391. The reversal of 122312220389 is 983022213221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122197087489 + 115132900 = 349567^2 + 10730^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312220389 - 28 = 122312220133 is a prime.

It is a super-2 number, since 2×1223122203892 (a number of 23 digits) contains 22 as substring.

Together with 122312220391, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122312223389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156110194 + 61156110195.

It is an arithmetic number, because the mean of its divisors is an integer number (61156110195).

Almost surely, 2122312220389 is an apocalyptic number.

It is an amenable number.

122312220389 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312220389 is an equidigital number, since it uses as much as digits as its factorization.

122312220389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 122312220389 in words is "one hundred twenty-two billion, three hundred twelve million, two hundred twenty thousand, three hundred eighty-nine".