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330431301131137 is a prime number
BaseRepresentation
bin100101100100001101000100…
…0010100111001101110000001
31121022221220221111210221002021
41023020122020110321232001
5321302241301042144022
63130434013311321441
7126412605451250353
oct11310321024715601
91538856844727067
10330431301131137
1196316145186a98
1231087972220281
131124b6cbc8a26b
145b84d631270d3
152830422ec07c7
hex12c8688539b81

330431301131137 has 2 divisors, whose sum is σ = 330431301131138. Its totient is φ = 330431301131136.

The previous prime is 330431301131077. The next prime is 330431301131227. The reversal of 330431301131137 is 731131103134033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 326205464423281 + 4225836707856 = 18061159^2 + 2055684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330431301131137 is a prime.

It is a super-2 number, since 2×3304313011311372 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (330431301111137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165215650565568 + 165215650565569.

It is an arithmetic number, because the mean of its divisors is an integer number (165215650565569).

Almost surely, 2330431301131137 is an apocalyptic number.

It is an amenable number.

330431301131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

330431301131137 is an equidigital number, since it uses as much as digits as its factorization.

330431301131137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20412, while the sum is 34.

The spelling of 330431301131137 in words is "three hundred thirty trillion, four hundred thirty-one billion, three hundred one million, one hundred thirty-one thousand, one hundred thirty-seven".