Search a number
-
+
331130311117 is a prime number
BaseRepresentation
bin1001101000110001110…
…01111001000111001101
31011122201001002200110221
410310120321321013031
520411123324423432
6412041423431341
732631501130024
oct4643071710715
91148631080427
10331130311117
11118482478851
1254212a55551
13252c1428148
14120537398bb
158930659b97
hex4d18e791cd

331130311117 has 2 divisors, whose sum is σ = 331130311118. Its totient is φ = 331130311116.

The previous prime is 331130311103. The next prime is 331130311123. The reversal of 331130311117 is 711113031133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265658807241 + 65471503876 = 515421^2 + 255874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331130311117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331130311091 and 331130311100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331130317117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165565155558 + 165565155559.

It is an arithmetic number, because the mean of its divisors is an integer number (165565155559).

Almost surely, 2331130311117 is an apocalyptic number.

It is an amenable number.

331130311117 is a deficient number, since it is larger than the sum of its proper divisors (1).

331130311117 is an equidigital number, since it uses as much as digits as its factorization.

331130311117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 25.

The spelling of 331130311117 in words is "three hundred thirty-one billion, one hundred thirty million, three hundred eleven thousand, one hundred seventeen".