Search a number
-
+
17312706113 is a prime number
BaseRepresentation
bin10000000111111010…
…101110111001000001
31122200112220121001112
4100013322232321001
5240424023043423
611541531213105
71152011400563
oct200772567101
948615817045
1017312706113
11738463138a
123431ba7195
13182ba1c701
14ba343d333
156b4d95a78
hex407eaee41

17312706113 has 2 divisors, whose sum is σ = 17312706114. Its totient is φ = 17312706112.

The previous prime is 17312706107. The next prime is 17312706127. The reversal of 17312706113 is 31160721371.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11704643344 + 5608062769 = 108188^2 + 74887^2 .

It is a cyclic number.

It is not a de Polignac number, because 17312706113 - 28 = 17312705857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 17312706113.

It is not a weakly prime, because it can be changed into another prime (17312706163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8656353056 + 8656353057.

It is an arithmetic number, because the mean of its divisors is an integer number (8656353057).

Almost surely, 217312706113 is an apocalyptic number.

It is an amenable number.

17312706113 is a deficient number, since it is larger than the sum of its proper divisors (1).

17312706113 is an equidigital number, since it uses as much as digits as its factorization.

17312706113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 17312706113 in words is "seventeen billion, three hundred twelve million, seven hundred six thousand, one hundred thirteen".