Search a number
-
+
231322303322113 is a prime number
BaseRepresentation
bin110100100110001011101011…
…101101111101100000000001
31010100001012022001022102110211
4310212023223231331200001
5220304441034122301423
62135551555445554121
766503325214551223
oct6446135355754001
91110035261272424
10231322303322113
1167785268735603
1221b3b98b415941
139c0c7a4439483
14411a0b86d6413
151bb2355d3510d
hexd262ebb7d801

231322303322113 has 2 divisors, whose sum is σ = 231322303322114. Its totient is φ = 231322303322112.

The previous prime is 231322303322063. The next prime is 231322303322119. The reversal of 231322303322113 is 311223303223132.

231322303322113 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., 149156562943089 + 82165740379024 = 12212967^2 + 9064532^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231322303322113 is a prime.

It is not a weakly prime, because it can be changed into another prime (231322303322119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115661151661056 + 115661151661057.

It is an arithmetic number, because the mean of its divisors is an integer number (115661151661057).

Almost surely, 2231322303322113 is an apocalyptic number.

It is an amenable number.

231322303322113 is a deficient number, since it is larger than the sum of its proper divisors (1).

231322303322113 is an equidigital number, since it uses as much as digits as its factorization.

231322303322113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 231322303322113 its reverse (311223303223132), we get a palindrome (542545606545245).

The spelling of 231322303322113 in words is "two hundred thirty-one trillion, three hundred twenty-two billion, three hundred three million, three hundred twenty-two thousand, one hundred thirteen".