Search a number
-
+
31342124313 = 331160819419
BaseRepresentation
bin11101001100001000…
…101101110100011001
32222220021201212211000
4131030020231310121
51003142040434223
622222014255213
72156454442503
oct351410556431
988807655730
1031342124313
11123238a2985
1260a84b7509
132c5645b7b6
1417347b2d73
15c3688a543
hex74c22dd19

31342124313 has 8 divisors (see below), whose sum is σ = 46432776800. Its totient is φ = 20894749524.

The previous prime is 31342124309. The next prime is 31342124321.

It is a happy number.

31342124313 is a `hidden beast` number, since 3 + 1 + 342 + 1 + 2 + 4 + 313 = 666.

31342124313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31342124313 - 22 = 31342124309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1160819419 = 31342124313 / (3 + 1 + 3 + 4 + 2 + 1 + 2 + 4 + 3 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31342124113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580409683 + ... + 580409736.

It is an arithmetic number, because the mean of its divisors is an integer number (5804097100).

Almost surely, 231342124313 is an apocalyptic number.

It is an amenable number.

31342124313 is a deficient number, since it is larger than the sum of its proper divisors (15090652487).

31342124313 is a wasteful number, since it uses less digits than its factorization.

31342124313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160819428 (or 1160819422 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The spelling of 31342124313 in words is "thirty-one billion, three hundred forty-two million, one hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 9 27 1160819419 3482458257 10447374771 31342124313