Search a number
-
+
31031013149 is a prime number
BaseRepresentation
bin11100111001100101…
…111010111100011101
32222002121022210112022
4130321211322330131
51002022414410044
622131102145525
72145656155043
oct347145727435
988077283468
1031031013149
111218421a514
1260202822a5
132c06b70456
14170534a393
15c193d43ee
hex73997af1d

31031013149 has 2 divisors, whose sum is σ = 31031013150. Its totient is φ = 31031013148.

The previous prime is 31031013131. The next prime is 31031013151. The reversal of 31031013149 is 94131013013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20070388900 + 10960624249 = 141670^2 + 104693^2 .

It is a cyclic number.

It is not a de Polignac number, because 31031013149 - 220 = 31029964573 is a prime.

Together with 31031013151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31031013049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15515506574 + 15515506575.

It is an arithmetic number, because the mean of its divisors is an integer number (15515506575).

Almost surely, 231031013149 is an apocalyptic number.

It is an amenable number.

31031013149 is a deficient number, since it is larger than the sum of its proper divisors (1).

31031013149 is an equidigital number, since it uses as much as digits as its factorization.

31031013149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 31031013149 in words is "thirty-one billion, thirty-one million, thirteen thousand, one hundred forty-nine".