Search a number
-
+
232322213322193 is a prime number
BaseRepresentation
bin110100110100101110111010…
…111111111001110111010001
31010110120210020111101101021111
4310310232322333321313101
5220422331343102302233
62142035203523253321
766635504010404641
oct6464567277716721
91113523214341244
10232322213322193
116803032a87a1a5
122208172721a241
139c82b76b83107
144152652bd2521
151bcd37971eacd
hexd34bbaff9dd1

232322213322193 has 2 divisors, whose sum is σ = 232322213322194. Its totient is φ = 232322213322192.

The previous prime is 232322213322179. The next prime is 232322213322197. The reversal of 232322213322193 is 391223312223232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186134259468609 + 46187953853584 = 13643103^2 + 6796172^2 .

It is a cyclic number.

It is not a de Polignac number, because 232322213322193 - 213 = 232322213314001 is a prime.

It is a super-2 number, since 2×2323222133221932 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (232322213322197) 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, 116161106661096 + 116161106661097.

It is an arithmetic number, because the mean of its divisors is an integer number (116161106661097).

Almost surely, 2232322213322193 is an apocalyptic number.

It is an amenable number.

232322213322193 is a deficient number, since it is larger than the sum of its proper divisors (1).

232322213322193 is an equidigital number, since it uses as much as digits as its factorization.

232322213322193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 279936, while the sum is 40.

The spelling of 232322213322193 in words is "two hundred thirty-two trillion, three hundred twenty-two billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred ninety-three".