Search a number
-
+
331330202309297 is a prime number
BaseRepresentation
bin100101101010101111101001…
…1000000110001001010110001
31121110010212011110222002010102
41023111133103000301022301
5321412003223242344142
63132402554343242145
7126534550200222602
oct11325372300611261
91543125143862112
10331330202309297
1196632393496764
12311b201a449355
13112b53c4bb8a19
145bb66785d9da9
1528489d3cea532
hex12d57d30312b1

331330202309297 has 2 divisors, whose sum is σ = 331330202309298. Its totient is φ = 331330202309296.

The previous prime is 331330202309221. The next prime is 331330202309321. The reversal of 331330202309297 is 792903202033133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170370131813281 + 160960070496016 = 13052591^2 + 12687004^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331330202309297 is a prime.

It is not a weakly prime, because it can be changed into another prime (331330202309207) 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, 165665101154648 + 165665101154649.

It is an arithmetic number, because the mean of its divisors is an integer number (165665101154649).

Almost surely, 2331330202309297 is an apocalyptic number.

It is an amenable number.

331330202309297 is a deficient number, since it is larger than the sum of its proper divisors (1).

331330202309297 is an equidigital number, since it uses as much as digits as its factorization.

331330202309297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1102248, while the sum is 47.

The spelling of 331330202309297 in words is "three hundred thirty-one trillion, three hundred thirty billion, two hundred two million, three hundred nine thousand, two hundred ninety-seven".