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122036838013 is a prime number
BaseRepresentation
bin111000110100111110…
…1100101111001111101
3102122222221211200222101
41301221331211321331
53444412412304023
6132021332545101
711550121002436
oct1615175457175
9378887750871
10122036838013
1147834682722
121b799a82191
13b67b18bc6c
145c99a7048d
153293be31ad
hex1c69f65e7d

122036838013 has 2 divisors, whose sum is σ = 122036838014. Its totient is φ = 122036838012.

The previous prime is 122036837999. The next prime is 122036838019. The reversal of 122036838013 is 310838630221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104304453444 + 17732384569 = 322962^2 + 133163^2 .

It is a cyclic number.

It is not a de Polignac number, because 122036838013 - 29 = 122036837501 is a prime.

It is a super-2 number, since 2×1220368380132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122036838019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61018419006 + 61018419007.

It is an arithmetic number, because the mean of its divisors is an integer number (61018419007).

Almost surely, 2122036838013 is an apocalyptic number.

It is an amenable number.

122036838013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122036838013 is an equidigital number, since it uses as much as digits as its factorization.

122036838013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 122036838013 in words is "one hundred twenty-two billion, thirty-six million, eight hundred thirty-eight thousand, thirteen".