Search a number
-
+
3330041414113 is a prime number
BaseRepresentation
bin110000011101010101111…
…011111000000111100001
3102210100102022102021001101
4300131111323320013201
5414024411100222423
611025444440234401
7462405346663231
oct60352573700741
912710368367041
103330041414113
111074298623047
1245947416ba01
131b2038493c9b
14b7263b83cc1
155b94e4ac7ad
hex30755ef81e1

3330041414113 has 2 divisors, whose sum is σ = 3330041414114. Its totient is φ = 3330041414112.

The previous prime is 3330041414047. The next prime is 3330041414123. The reversal of 3330041414113 is 3114141400333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2460201661009 + 869839753104 = 1568503^2 + 932652^2 .

It is a cyclic number.

It is not a de Polignac number, because 3330041414113 - 213 = 3330041405921 is a prime.

It is a super-2 number, since 2×33300414141132 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3330041414123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1665020707056 + 1665020707057.

It is an arithmetic number, because the mean of its divisors is an integer number (1665020707057).

Almost surely, 23330041414113 is an apocalyptic number.

It is an amenable number.

3330041414113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3330041414113 is an equidigital number, since it uses as much as digits as its factorization.

3330041414113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 3330041414113 its reverse (3114141400333), we get a palindrome (6444182814446).

The spelling of 3330041414113 in words is "three trillion, three hundred thirty billion, forty-one million, four hundred fourteen thousand, one hundred thirteen".