| Base | Representation |
|---|---|
| bin | 1111101000011… |
| … | …10001111010000 |
| 3 | 100010202002222112 |
| 4 | 13310032033100 |
| 5 | 232032132240 |
| 6 | 21002324452 |
| 7 | 3151406066 |
| oct | 764161720 |
| 9 | 303662875 |
| 10 | 131130320 |
| 11 | 68024172 |
| 12 | 37ab9728 |
| 13 | 21223109 |
| 14 | 135b6036 |
| 15 | b7a3665 |
| hex | 7d0e3d0 |
131130320 has 40 divisors (see below), whose sum is σ = 307915560. Its totient is φ = 51929600.
The previous prime is 131130317. The next prime is 131130347. The reversal of 131130320 is 23031131.
It can be written as a sum of positive squares in 4 ways, for example, as 84125584 + 47004736 = 9172^2 + 6856^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×1311303203 (a number of 25 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 131130295 and 131130304.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 16194.
It is an arithmetic number, because the mean of its divisors is an integer number (7697889).
Almost surely, 2131130320 is an apocalyptic number.
131130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153957780).
131130320 is an abundant number, since it is smaller than the sum of its proper divisors (176785240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131130320 is a wasteful number, since it uses less digits than its factorization.
131130320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16343 (or 16337 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 14.
The square root of 131130320 is about 11451.2147827207. The cubic root of 131130320 is about 508.0436650007.
Adding to 131130320 its reverse (23031131), we get a palindrome (154161451).
The spelling of 131130320 in words is "one hundred thirty-one million, one hundred thirty thousand, three hundred twenty".
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