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122331301993 is a prime number
BaseRepresentation
bin111000111101110000…
…0111000100001101001
3102200202110221000121201
41301323200320201221
54001013303130433
6132110452204201
711560324624135
oct1617340704151
9380673830551
10122331301993
114797591588a
121b860609661
13b6c719bcc4
145cc6c023c5
1532ae9aba7d
hex1c7b838869

122331301993 has 2 divisors, whose sum is σ = 122331301994. Its totient is φ = 122331301992.

The previous prime is 122331301943. The next prime is 122331302017. The reversal of 122331301993 is 399103133221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111130889769 + 11200412224 = 333363^2 + 105832^2 .

It is a cyclic number.

It is not a de Polignac number, because 122331301993 - 217 = 122331170921 is a prime.

It is not a weakly prime, because it can be changed into another prime (122331301903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61165650996 + 61165650997.

It is an arithmetic number, because the mean of its divisors is an integer number (61165650997).

Almost surely, 2122331301993 is an apocalyptic number.

It is an amenable number.

122331301993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122331301993 is an equidigital number, since it uses as much as digits as its factorization.

122331301993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26244, while the sum is 37.

The spelling of 122331301993 in words is "one hundred twenty-two billion, three hundred thirty-one million, three hundred one thousand, nine hundred ninety-three".