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122365312093 is a prime number
BaseRepresentation
bin111000111110110001…
…0100111110001011101
3102200211211220220201001
41301331202213301131
54001101004441333
6132114105150301
711561216664013
oct1617542476135
9380754826631
10122365312093
1147993035102
121b86ba8b391
13b70124931b
145ccb5368b3
1532b2978b7d
hex1c7d8a7c5d

122365312093 has 2 divisors, whose sum is σ = 122365312094. Its totient is φ = 122365312092.

The previous prime is 122365312037. The next prime is 122365312099. The reversal of 122365312093 is 390213563221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117870682329 + 4494629764 = 343323^2 + 67042^2 .

It is a cyclic number.

It is not a de Polignac number, because 122365312093 - 29 = 122365311581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122365312099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61182656046 + 61182656047.

It is an arithmetic number, because the mean of its divisors is an integer number (61182656047).

Almost surely, 2122365312093 is an apocalyptic number.

It is an amenable number.

122365312093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122365312093 is an equidigital number, since it uses as much as digits as its factorization.

122365312093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 122365312093 in words is "one hundred twenty-two billion, three hundred sixty-five million, three hundred twelve thousand, ninety-three".