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3131120616 = 2331311388811
BaseRepresentation
bin1011101010100001…
…0001101111101000
322002012202102000020
42322220101233220
522403031324431
61234410440440
7140410041351
oct27250215750
98065672006
103131120616
111367488298
12734733120
133ab9030c0
14219bb8d28
15134d44696
hexbaa11be8

3131120616 has 64 divisors (see below), whose sum is σ = 8504637120. Its totient is φ = 954885120.

The previous prime is 3131120609. The next prime is 3131120623. The reversal of 3131120616 is 6160211313.

3131120616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3131120609) and next prime (3131120623).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9150 + ... + 79661.

It is an arithmetic number, because the mean of its divisors is an integer number (132884955).

Almost surely, 23131120616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131120616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252318560).

3131120616 is an abundant number, since it is smaller than the sum of its proper divisors (5373516504).

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

3131120616 is a wasteful number, since it uses less digits than its factorization.

3131120616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88946 (or 88942 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3131120616 is about 55956.4171118916. The cubic root of 3131120616 is about 1462.9627420797.

Adding to 3131120616 its reverse (6160211313), we get a palindrome (9291331929).

The spelling of 3131120616 in words is "three billion, one hundred thirty-one million, one hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 678 904 1356 1469 2712 2938 4407 5876 8814 11752 17628 35256 88811 177622 266433 355244 532866 710488 1065732 1154543 2131464 2309086 3463629 4618172 6927258 9236344 10035643 13854516 20071286 27709032 30106929 40142572 60213858 80285144 120427716 130463359 240855432 260926718 391390077 521853436 782780154 1043706872 1565560308 3131120616