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204114513656129 is a prime number
BaseRepresentation
bin101110011010010000011101…
…000101000111100101000001
3222202201011020101222020001212
4232122100131011013211001
5203223203010443444004
62002040525120335505
760664533633326456
oct5632203505074501
9882634211866055
10204114513656129
115a04552a78274a
121aa86915774595
1389b7bba72ca4b
1438592a37a982d
15188e74852b96e
hexb9a41d147941

204114513656129 has 2 divisors, whose sum is σ = 204114513656130. Its totient is φ = 204114513656128.

The previous prime is 204114513656063. The next prime is 204114513656147. The reversal of 204114513656129 is 921656315411402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138273493050625 + 65841020605504 = 11758975^2 + 8114248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204114513656129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (204114513656159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102057256828064 + 102057256828065.

It is an arithmetic number, because the mean of its divisors is an integer number (102057256828065).

Almost surely, 2204114513656129 is an apocalyptic number.

It is an amenable number.

204114513656129 is a deficient number, since it is larger than the sum of its proper divisors (1).

204114513656129 is an equidigital number, since it uses as much as digits as its factorization.

204114513656129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 50.

The spelling of 204114513656129 in words is "two hundred four trillion, one hundred fourteen billion, five hundred thirteen million, six hundred fifty-six thousand, one hundred twenty-nine".