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2313131288 = 2313192634451
BaseRepresentation
bin1000100111011111…
…1001010100011000
312222012120020121012
42021313321110120
514214130200123
61021310233052
7111215201666
oct21167712430
95865506535
102313131288
11a8777a856
125467b5788
132ab2c2050
1417d2c9c36
15d8117378
hex89df9518

2313131288 has 64 divisors (see below), whose sum is σ = 4936377600. Its totient is φ = 1007337600.

The previous prime is 2313131287. The next prime is 2313131329. The reversal of 2313131288 is 8821313132.

2313131288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313131281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517463 + ... + 521913.

It is an arithmetic number, because the mean of its divisors is an integer number (77130900).

Almost surely, 22313131288 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 2313131288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468188800).

2313131288 is an abundant number, since it is smaller than the sum of its proper divisors (2623246312).

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

2313131288 is a wasteful number, since it uses less digits than its factorization.

2313131288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4748 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 2313131288 is about 48095.0235263483. The cubic root of 2313131288 is about 1322.5134403290.

The spelling of 2313131288 in words is "two billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 263 494 526 988 1052 1976 2104 3419 4451 4997 6838 8902 9994 13676 17804 19988 27352 35608 39976 57863 64961 84569 115726 129922 169138 231452 259844 338276 462904 519688 676552 1099397 1170613 2198794 2341226 4397588 4682452 8795176 9364904 15217969 22241647 30435938 44483294 60871876 88966588 121743752 177933176 289141411 578282822 1156565644 2313131288