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202044576313 is a prime number
BaseRepresentation
bin1011110000101011001…
…0111001001000111001
3201022111211111220221001
42330022302321020321
511302241402420223
6232452404245001
720411565363616
oct2741262711071
9638454456831
10202044576313
1178760994698
12331a83a0761
131608baa3048
149ac986150d
1553c7bde9ad
hex2f0acb9239

202044576313 has 2 divisors, whose sum is σ = 202044576314. Its totient is φ = 202044576312.

The previous prime is 202044576263. The next prime is 202044576347. The reversal of 202044576313 is 313675440202.

202044576313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123853317184 + 78191259129 = 351928^2 + 279627^2 .

It is a cyclic number.

It is not a de Polignac number, because 202044576313 - 29 = 202044575801 is a prime.

It is not a weakly prime, because it can be changed into another prime (202044576113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101022288156 + 101022288157.

It is an arithmetic number, because the mean of its divisors is an integer number (101022288157).

Almost surely, 2202044576313 is an apocalyptic number.

It is an amenable number.

202044576313 is a deficient number, since it is larger than the sum of its proper divisors (1).

202044576313 is an equidigital number, since it uses as much as digits as its factorization.

202044576313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 202044576313 in words is "two hundred two billion, forty-four million, five hundred seventy-six thousand, three hundred thirteen".