Search a number
-
+
331330003013 is a prime number
BaseRepresentation
bin1001101001001001100…
…11101010000001000101
31011200012221212002021002
410310210303222001011
520412030440044023
6412113315503045
732636444362112
oct4644463520105
91150187762232
10331330003013
11118575170279
12542698b7a85
1325323905129
141207207b909
158942e52b28
hex4d24cea045

331330003013 has 2 divisors, whose sum is σ = 331330003014. Its totient is φ = 331330003012.

The previous prime is 331330003007. The next prime is 331330003049. The reversal of 331330003013 is 310300033133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330927519169 + 402483844 = 575263^2 + 20062^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331330003013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331330003513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165665001506 + 165665001507.

It is an arithmetic number, because the mean of its divisors is an integer number (165665001507).

Almost surely, 2331330003013 is an apocalyptic number.

It is an amenable number.

331330003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331330003013 is an equidigital number, since it uses as much as digits as its factorization.

331330003013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 331330003013 its reverse (310300033133), we get a palindrome (641630036146).

The spelling of 331330003013 in words is "three hundred thirty-one billion, three hundred thirty million, three thousand, thirteen".