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122653958407 is a prime number
BaseRepresentation
bin111001000111010111…
…1101110000100000111
3102201120222001200000021
41302032233232010013
54002143403132112
6132202500000011
711601323305321
oct1621657560407
9381528050007
10122653958407
1148020a64382
121b930690007
13b748ca0366
145d179d2611
1532cce93907
hex1c8ebee107

122653958407 has 2 divisors, whose sum is σ = 122653958408. Its totient is φ = 122653958406.

The previous prime is 122653958381. The next prime is 122653958419. The reversal of 122653958407 is 704859356221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122653958407 - 235 = 88294220039 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122653758407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61326979203 + 61326979204.

It is an arithmetic number, because the mean of its divisors is an integer number (61326979204).

It is a 2-persistent number, because it is pandigital, and so is 2⋅122653958407 = 245307916814, but 3⋅122653958407 = 367961875221 is not.

Almost surely, 2122653958407 is an apocalyptic number.

122653958407 is a deficient number, since it is larger than the sum of its proper divisors (1).

122653958407 is an equidigital number, since it uses as much as digits as its factorization.

122653958407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 122653958407 in words is "one hundred twenty-two billion, six hundred fifty-three million, nine hundred fifty-eight thousand, four hundred seven".