Search a number
-
+
313011633089 is a prime number
BaseRepresentation
bin1001000111000001111…
…00100111101111000001
31002220221022121110210202
410203200330213233001
520112021434224324
6355443501334545
731420501660601
oct4434074475701
91086838543722
10313011633089
111108249a7881
12507b6b67455
132369474459c
1411215258c01
15821eb5c8ae
hex48e0f27bc1

313011633089 has 2 divisors, whose sum is σ = 313011633090. Its totient is φ = 313011633088.

The previous prime is 313011633071. The next prime is 313011633133. The reversal of 313011633089 is 980336110313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310449552400 + 2562080689 = 557180^2 + 50617^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313011633089 is a prime.

It is not a weakly prime, because it can be changed into another prime (313011633589) 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, 156505816544 + 156505816545.

It is an arithmetic number, because the mean of its divisors is an integer number (156505816545).

Almost surely, 2313011633089 is an apocalyptic number.

It is an amenable number.

313011633089 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011633089 is an equidigital number, since it uses as much as digits as its factorization.

313011633089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 38.

The spelling of 313011633089 in words is "three hundred thirteen billion, eleven million, six hundred thirty-three thousand, eighty-nine".