Search a number
-
+
230321120320013 is a prime number
BaseRepresentation
bin110100010111100111010000…
…100011111001101000001101
31010012111111001212212021012012
4310113213100203321220031
5220142040123300220023
62133504021215351005
766341103033500402
oct6427472043715015
91105444055767165
10230321120320013
1167429702a63728
12219b9939222465
139b6925b04b2b8
1440c385d1062a9
151b962aa7de978
hexd179d08f9a0d

230321120320013 has 2 divisors, whose sum is σ = 230321120320014. Its totient is φ = 230321120320012.

The previous prime is 230321120319949. The next prime is 230321120320019. The reversal of 230321120320013 is 310023021123032.

230321120320013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228231933378409 + 2089186941604 = 15107347^2 + 1445402^2 .

It is a cyclic number.

It is not a de Polignac number, because 230321120320013 - 26 = 230321120319949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230321120320019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115160560160006 + 115160560160007.

It is an arithmetic number, because the mean of its divisors is an integer number (115160560160007).

Almost surely, 2230321120320013 is an apocalyptic number.

It is an amenable number.

230321120320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

230321120320013 is an equidigital number, since it uses as much as digits as its factorization.

230321120320013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 230321120320013 its reverse (310023021123032), we get a palindrome (540344141443045).

The spelling of 230321120320013 in words is "two hundred thirty trillion, three hundred twenty-one billion, one hundred twenty million, three hundred twenty thousand, thirteen".