Search a number
-
+
232133310113009 is a prime number
BaseRepresentation
bin110100110001111110111111…
…011111010110010011110001
31010102220201122111200002001112
4310301332333133112103301
5220411233004342104014
62141412323120043105
766616035552541514
oct6461767737262361
91112821574602045
10232133310113009
1167a682029461a8
1222050ba7a63495
139c6b10084a466
1441474527b8d7b
151bc84c05a873e
hexd31fbf7d64f1

232133310113009 has 2 divisors, whose sum is σ = 232133310113010. Its totient is φ = 232133310113008.

The previous prime is 232133310112997. The next prime is 232133310113129. The reversal of 232133310113009 is 900311013331232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176337683808400 + 55795626304609 = 13279220^2 + 7469647^2 .

It is a cyclic number.

It is not a de Polignac number, because 232133310113009 - 224 = 232133293335793 is a prime.

It is not a weakly prime, because it can be changed into another prime (232133318113009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116066655056504 + 116066655056505.

It is an arithmetic number, because the mean of its divisors is an integer number (116066655056505).

Almost surely, 2232133310113009 is an apocalyptic number.

It is an amenable number.

232133310113009 is a deficient number, since it is larger than the sum of its proper divisors (1).

232133310113009 is an equidigital number, since it uses as much as digits as its factorization.

232133310113009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 232133310113009 in words is "two hundred thirty-two trillion, one hundred thirty-three billion, three hundred ten million, one hundred thirteen thousand, nine".