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205333048913 is a prime number
BaseRepresentation
bin1011111100111011001…
…1011010111001010001
3201122000000100122021112
42333032303122321101
511331010230031123
6234154555503105
720556226055366
oct2771663327121
9648000318245
10205333048913
117a099175843
1233965757a95
131649417a515
149d1c4ba46d
15551b766d78
hex2fcecdae51

205333048913 has 2 divisors, whose sum is σ = 205333048914. Its totient is φ = 205333048912.

The previous prime is 205333048903. The next prime is 205333048933. The reversal of 205333048913 is 319840333502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170740024849 + 34593024064 = 413207^2 + 185992^2 .

It is a cyclic number.

It is not a de Polignac number, because 205333048913 - 230 = 204259307089 is a prime.

It is not a weakly prime, because it can be changed into another prime (205333048903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102666524456 + 102666524457.

It is an arithmetic number, because the mean of its divisors is an integer number (102666524457).

Almost surely, 2205333048913 is an apocalyptic number.

It is an amenable number.

205333048913 is a deficient number, since it is larger than the sum of its proper divisors (1).

205333048913 is an equidigital number, since it uses as much as digits as its factorization.

205333048913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 205333048913 in words is "two hundred five billion, three hundred thirty-three million, forty-eight thousand, nine hundred thirteen".