Search a number
-
+
232531531288841 is a prime number
BaseRepresentation
bin110100110111110001110111…
…010100100101000100001001
31010111022210112020001211000202
4310313301313110211010021
5220434244034002220331
62142315302153541545
766656564054642321
oct6467616724450411
91114283466054022
10232531531288841
1168101083367684
12220b62034148b5
139c998247a1105
14415c82c618281
151bd3a2ac2cecb
hexd37c77525109

232531531288841 has 2 divisors, whose sum is σ = 232531531288842. Its totient is φ = 232531531288840.

The previous prime is 232531531288831. The next prime is 232531531288843. The reversal of 232531531288841 is 148882135135232.

232531531288841 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., 225979062760000 + 6552468528841 = 15032600^2 + 2559779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232531531288841 is a prime.

It is a super-2 number, since 2×2325315312888412 (a number of 30 digits) contains 22 as substring.

Together with 232531531288843, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (232531531288843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116265765644420 + 116265765644421.

It is an arithmetic number, because the mean of its divisors is an integer number (116265765644421).

Almost surely, 2232531531288841 is an apocalyptic number.

It is an amenable number.

232531531288841 is a deficient number, since it is larger than the sum of its proper divisors (1).

232531531288841 is an equidigital number, since it uses as much as digits as its factorization.

232531531288841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11059200, while the sum is 56.

The spelling of 232531531288841 in words is "two hundred thirty-two trillion, five hundred thirty-one billion, five hundred thirty-one million, two hundred eighty-eight thousand, eight hundred forty-one".