Search a number
-
+
5105506331 is a prime number
BaseRepresentation
bin1001100000100111…
…11101100000011011
3111011210220121001002
410300103331200123
540424002200311
62202340415215
7240343042052
oct46023754033
914153817032
105105506331
11218aa1a522
12ba59a750b
1363497c783
143660c7399
151ed34793b
hex1304fd81b

5105506331 has 2 divisors, whose sum is σ = 5105506332. Its totient is φ = 5105506330.

The previous prime is 5105506313. The next prime is 5105506381. The reversal of 5105506331 is 1336055015.

Together with previous prime (5105506313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5105506331 is a prime.

It is a super-2 number, since 2×51055063312 = 52132389791762163122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 5105506294 and 5105506303.

It is not a weakly prime, because it can be changed into another prime (5105506381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2552753165 + 2552753166.

It is an arithmetic number, because the mean of its divisors is an integer number (2552753166).

Almost surely, 25105506331 is an apocalyptic number.

5105506331 is a deficient number, since it is larger than the sum of its proper divisors (1).

5105506331 is an equidigital number, since it uses as much as digits as its factorization.

5105506331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6750, while the sum is 29.

The square root of 5105506331 is about 71452.8259133255. The cubic root of 5105506331 is about 1721.9198783700.

The spelling of 5105506331 in words is "five billion, one hundred five million, five hundred six thousand, three hundred thirty-one".