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122117305021 is a prime number
BaseRepresentation
bin111000110111011000…
…0100011001010111101
3102200012120020211221221
41301232300203022331
54000044012230041
6132033325353341
711552115652225
oct1615660431275
9380176224857
10122117305021
1147876042788
121b800a08851
13b691a53a8a
145ca6619085
15329acda2d1
hex1c6ec232bd

122117305021 has 2 divisors, whose sum is σ = 122117305022. Its totient is φ = 122117305020.

The previous prime is 122117305019. The next prime is 122117305087. The reversal of 122117305021 is 120503711221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111188902500 + 10928402521 = 333450^2 + 104539^2 .

It is a cyclic number.

It is not a de Polignac number, because 122117305021 - 21 = 122117305019 is a prime.

Together with 122117305019, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122117305091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61058652510 + 61058652511.

It is an arithmetic number, because the mean of its divisors is an integer number (61058652511).

Almost surely, 2122117305021 is an apocalyptic number.

It is an amenable number.

122117305021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122117305021 is an equidigital number, since it uses as much as digits as its factorization.

122117305021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 122117305021 in words is "one hundred twenty-two billion, one hundred seventeen million, three hundred five thousand, twenty-one".