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3131331133 = 72173759101
BaseRepresentation
bin1011101010100100…
…0101001000111101
322002020011002210011
42322221011020331
522403110044013
61234415143221
7140411606200
oct27251051075
98066132704
103131331133
111367611477
12734814b11
133ab977b78
14219c31937
15134d86c3d
hexbaa4523d

3131331133 has 12 divisors (see below), whose sum is σ = 3856838652. Its totient is φ = 2526115200.

The previous prime is 3131331103. The next prime is 3131331191. The reversal of 3131331133 is 3311331313.

3131331133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2208812004 + 922519129 = 46998^2 + 30373^2 .

It is not a de Polignac number, because 3131331133 - 25 = 3131331101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131331103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1878718 + ... + 1880383.

It is an arithmetic number, because the mean of its divisors is an integer number (321403221).

Almost surely, 23131331133 is an apocalyptic number.

It is an amenable number.

3131331133 is a deficient number, since it is larger than the sum of its proper divisors (725507519).

3131331133 is a wasteful number, since it uses less digits than its factorization.

3131331133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759132 (or 3759125 counting only the distinct ones).

The product of its digits is 729, while the sum is 22.

The square root of 3131331133 is about 55958.2981603265. The cubic root of 3131331133 is about 1462.9955281717.

Adding to 3131331133 its reverse (3311331313), we get a palindrome (6442662446).

The spelling of 3131331133 in words is "three billion, one hundred thirty-one million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 17 49 119 833 3759101 26313707 63904717 184195949 447333019 3131331133