Search a number
-
+
231311323181 is a prime number
BaseRepresentation
bin1101011101101100111…
…0101011000000101101
3211010001111001201002202
43113123032223000231
512242211144320211
6254132444231245
722466052543341
oct3273316530055
9733044051082
10231311323181
118a10a2367a4
12389b583b525
1318a74285143
14b2a4757621
15603c27853b
hex35db3ab02d

231311323181 has 2 divisors, whose sum is σ = 231311323182. Its totient is φ = 231311323180.

The previous prime is 231311323147. The next prime is 231311323247. The reversal of 231311323181 is 181323113132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177177855625 + 54133467556 = 420925^2 + 232666^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231311323181 is a prime.

It is a super-2 number, since 2×2313113231812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231311323981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115655661590 + 115655661591.

It is an arithmetic number, because the mean of its divisors is an integer number (115655661591).

Almost surely, 2231311323181 is an apocalyptic number.

It is an amenable number.

231311323181 is a deficient number, since it is larger than the sum of its proper divisors (1).

231311323181 is an equidigital number, since it uses as much as digits as its factorization.

231311323181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 29.

The spelling of 231311323181 in words is "two hundred thirty-one billion, three hundred eleven million, three hundred twenty-three thousand, one hundred eighty-one".