Search a number
-
+
330031221311263 is a prime number
BaseRepresentation
bin100101100001010010110000…
…1101101100000011100011111
31121021112200021021001021210211
41023002211201231200130133
5321224212420123430023
63125530130000313251
7126341653220013343
oct11302454155403437
91537480237037724
10330031221311263
119618150059685a
1231022318312827
131121ca6cc52834
145b6d84c507623
152824d095aba0d
hex12c2961b6071f

330031221311263 has 2 divisors, whose sum is σ = 330031221311264. Its totient is φ = 330031221311262.

The previous prime is 330031221311249. The next prime is 330031221311287. The reversal of 330031221311263 is 362113122130033.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 330031221311263 - 217 = 330031221180191 is a prime.

It is a super-2 number, since 2×3300312213112632 (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 (330031221311213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165015610655631 + 165015610655632.

It is an arithmetic number, because the mean of its divisors is an integer number (165015610655632).

Almost surely, 2330031221311263 is an apocalyptic number.

330031221311263 is a deficient number, since it is larger than the sum of its proper divisors (1).

330031221311263 is an equidigital number, since it uses as much as digits as its factorization.

330031221311263 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 330031221311263 its reverse (362113122130033), we get a palindrome (692144343441296).

The spelling of 330031221311263 in words is "three hundred thirty trillion, thirty-one billion, two hundred twenty-one million, three hundred eleven thousand, two hundred sixty-three".