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122022122093 is a prime number
BaseRepresentation
bin111000110100100010…
…1011101001001101101
3102122221221011001112022
41301221011131021231
53444400130401333
6132020045315525
711546551632044
oct1615105351155
9378857131468
10122022122093
1147827341403
121b794b65ba5
13b678108a11
145c97b1d55b
153292787c98
hex1c6915d26d

122022122093 has 2 divisors, whose sum is σ = 122022122094. Its totient is φ = 122022122092.

The previous prime is 122022122083. The next prime is 122022122143. The reversal of 122022122093 is 390221220221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61907908969 + 60114213124 = 248813^2 + 245182^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022122093 - 230 = 120948380269 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122022122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011061046 + 61011061047.

It is an arithmetic number, because the mean of its divisors is an integer number (61011061047).

Almost surely, 2122022122093 is an apocalyptic number.

It is an amenable number.

122022122093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022122093 is an equidigital number, since it uses as much as digits as its factorization.

122022122093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 122022122093 in words is "one hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, ninety-three".