Search a number
-
+
232322213322013 is a prime number
BaseRepresentation
bin110100110100101110111010…
…111111111001110100011101
31010110120210020111101101000211
4310310232322333321310131
5220422331343102301023
62142035203523252421
766635504010404263
oct6464567277716435
91113523214341024
10232322213322013
116803032a87a051
122208172721a111
139c82b76b82cc9
144152652bd2433
151bcd37971ea0d
hexd34bbaff9d1d

232322213322013 has 2 divisors, whose sum is σ = 232322213322014. Its totient is φ = 232322213322012.

The previous prime is 232322213321993. The next prime is 232322213322131. The reversal of 232322213322013 is 310223312223232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232194876395364 + 127336926649 = 15237942^2 + 356843^2 .

It is a cyclic number.

It is not a de Polignac number, because 232322213322013 - 233 = 232313623387421 is a prime.

It is a super-2 number, since 2×2323222133220132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (232322213322413) 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, 116161106661006 + 116161106661007.

It is an arithmetic number, because the mean of its divisors is an integer number (116161106661007).

Almost surely, 2232322213322013 is an apocalyptic number.

It is an amenable number.

232322213322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

232322213322013 is an equidigital number, since it uses as much as digits as its factorization.

232322213322013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 232322213322013 its reverse (310223312223232), we get a palindrome (542545525545245).

The spelling of 232322213322013 in words is "two hundred thirty-two trillion, three hundred twenty-two billion, two hundred thirteen million, three hundred twenty-two thousand, thirteen".