Search a number
-
+
330031032229957 is a prime number
BaseRepresentation
bin100101100001010010101011…
…0011100001110000001000101
31121021112122210002020222000111
41023002211112130032001011
5321224212023222324312
63125530055123513021
7126341645432603032
oct11302452634160105
91537478702228014
10330031032229957
1196181413891213
1231022284b28771
131121ca3ca1c2c6
145b6d831368389
152824ce7bac8a7
hex12c295670e045

330031032229957 has 2 divisors, whose sum is σ = 330031032229958. Its totient is φ = 330031032229956.

The previous prime is 330031032229919. The next prime is 330031032229993. The reversal of 330031032229957 is 759922230130033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 281581622795236 + 48449409434721 = 16780394^2 + 6960561^2 .

It is a cyclic number.

It is not a de Polignac number, because 330031032229957 - 211 = 330031032227909 is a prime.

It is a super-2 number, since 2×3300310322299572 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330031032229957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330031032229357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165015516114978 + 165015516114979.

It is an arithmetic number, because the mean of its divisors is an integer number (165015516114979).

Almost surely, 2330031032229957 is an apocalyptic number.

It is an amenable number.

330031032229957 is a deficient number, since it is larger than the sum of its proper divisors (1).

330031032229957 is an equidigital number, since it uses as much as digits as its factorization.

330031032229957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1837080, while the sum is 49.

The spelling of 330031032229957 in words is "three hundred thirty trillion, thirty-one billion, thirty-two million, two hundred twenty-nine thousand, nine hundred fifty-seven".