Search a number
-
+
313375405417 is a prime number
BaseRepresentation
bin1001000111101101010…
…00010011010101101001
31002221212200010000121221
410203312220103111221
520113243100433132
6355543534302041
731432506665404
oct4436650232551
91087780100557
10313375405417
111109a1279368
1250898957921
1323721c10399
141124b6acd3b
158241a66e97
hex48f6a13569

313375405417 has 2 divisors, whose sum is σ = 313375405418. Its totient is φ = 313375405416.

The previous prime is 313375405393. The next prime is 313375405433. The reversal of 313375405417 is 714504573313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226838828176 + 86536577241 = 476276^2 + 294171^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313375405417 is a prime.

It is a super-2 number, since 2×3133754054172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313375403417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156687702708 + 156687702709.

It is an arithmetic number, because the mean of its divisors is an integer number (156687702709).

Almost surely, 2313375405417 is an apocalyptic number.

It is an amenable number.

313375405417 is a deficient number, since it is larger than the sum of its proper divisors (1).

313375405417 is an equidigital number, since it uses as much as digits as its factorization.

313375405417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 43.

The spelling of 313375405417 in words is "three hundred thirteen billion, three hundred seventy-five million, four hundred five thousand, four hundred seventeen".