Search a number
-
+
31311334314 = 23213133809121
BaseRepresentation
bin11101001010010011…
…010000101110101010
32222211010210120212200
4131022103100232222
51003111200144224
622214554321030
72155631643651
oct351223205652
988733716780
1031311334314
11123084829a7
12609a129176
132c4cc6b070
14173067a198
15c33d075c9
hex74a4d0baa

31311334314 has 24 divisors (see below), whose sum is σ = 73059780612. Its totient is φ = 9634256640.

The previous prime is 31311334261. The next prime is 31311334331. The reversal of 31311334314 is 41343311313.

31311334314 is a `hidden beast` number, since 3 + 1 + 3 + 11 + 334 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31238795025 + 72539289 = 176745^2 + 8517^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 66904327 + ... + 66904794.

Almost surely, 231311334314 is an apocalyptic number.

31311334314 is an abundant number, since it is smaller than the sum of its proper divisors (41748446298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31311334314 is a wasteful number, since it uses less digits than its factorization.

31311334314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133809142 (or 133809139 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 31311334314 its reverse (41343311313), we get a palindrome (72654645627).

The spelling of 31311334314 in words is "thirty-one billion, three hundred eleven million, three hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 133809121 267618242 401427363 802854726 1204282089 1739518573 2408564178 3479037146 5218555719 10437111438 15655667157 31311334314