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122621745793 is a prime number
BaseRepresentation
bin111001000110011010…
…0110101101010000001
3102201111201110002121111
41302030310311222001
54002112131331133
6132155345323321
711600452433101
oct1621464655201
9381451402544
10122621745793
1148004862588
121b921936541
13b742402241
145d13609201
1532ca22e1cd
hex1c8cd35a81

122621745793 has 2 divisors, whose sum is σ = 122621745794. Its totient is φ = 122621745792.

The previous prime is 122621745709. The next prime is 122621745811. The reversal of 122621745793 is 397547126221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80470370929 + 42151374864 = 283673^2 + 205308^2 .

It is a cyclic number.

It is not a de Polignac number, because 122621745793 - 225 = 122588191361 is a prime.

It is a super-2 number, since 2×1226217457932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122621745593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61310872896 + 61310872897.

It is an arithmetic number, because the mean of its divisors is an integer number (61310872897).

Almost surely, 2122621745793 is an apocalyptic number.

It is an amenable number.

122621745793 is a deficient number, since it is larger than the sum of its proper divisors (1).

122621745793 is an equidigital number, since it uses as much as digits as its factorization.

122621745793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 49.

The spelling of 122621745793 in words is "one hundred twenty-two billion, six hundred twenty-one million, seven hundred forty-five thousand, seven hundred ninety-three".