Search a number
-
+
213303331167967 is a prime number
BaseRepresentation
bin110000011111111110001101…
…010010001001111011011111
31000222020121011220020110222101
4300133332031102021323133
5210424230210234333332
62033354110401425531
762633441251425535
oct6037761522117337
91028217156213871
10213303331167967
1161a68486702117
121bb0b74603b2a7
139203557c4b9b1
143a95d1735c155
15199d798592ae7
hexc1ff8d489edf

213303331167967 has 2 divisors, whose sum is σ = 213303331167968. Its totient is φ = 213303331167966.

The previous prime is 213303331167931. The next prime is 213303331168019. The reversal of 213303331167967 is 769761133303312.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213303331167967 is a prime.

It is a super-2 number, since 2×2133033311679672 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213303331161967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106651665583983 + 106651665583984.

It is an arithmetic number, because the mean of its divisors is an integer number (106651665583984).

Almost surely, 2213303331167967 is an apocalyptic number.

213303331167967 is a deficient number, since it is larger than the sum of its proper divisors (1).

213303331167967 is an equidigital number, since it uses as much as digits as its factorization.

213303331167967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7715736, while the sum is 55.

The spelling of 213303331167967 in words is "two hundred thirteen trillion, three hundred three billion, three hundred thirty-one million, one hundred sixty-seven thousand, nine hundred sixty-seven".