| Base | Representation |
|---|---|
| bin | 1111100010001… |
| … | …10110100110000 |
| 3 | 100002012121112200 |
| 4 | 13301012310300 |
| 5 | 231330013040 |
| 6 | 20533023200 |
| 7 | 3141434541 |
| oct | 761066460 |
| 9 | 302177480 |
| 10 | 130313520 |
| 11 | 67616527 |
| 12 | 37784b00 |
| 13 | 20cc83bc |
| 14 | 134424c8 |
| 15 | b691630 |
| hex | 7c46d30 |
130313520 has 120 divisors (see below), whose sum is σ = 440037312. Its totient is φ = 34560000.
The previous prime is 130313497. The next prime is 130313537. The reversal of 130313520 is 25313031.
130313520 is a `hidden beast` number, since 130 + 3 + 13 + 520 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×1303135202 = 33963226989580800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 130313493 and 130313502.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173145 + ... + 173895.
Almost surely, 2130313520 is an apocalyptic number.
130313520 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 130313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220018656).
130313520 is an abundant number, since it is smaller than the sum of its proper divisors (309723792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130313520 is a wasteful number, since it uses less digits than its factorization.
130313520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1011 (or 1002 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 18.
The square root of 130313520 is about 11415.4947330372. The cubic root of 130313520 is about 506.9866130938.
Adding to 130313520 its reverse (25313031), we get a palindrome (155626551).
The spelling of 130313520 in words is "one hundred thirty million, three hundred thirteen thousand, five hundred twenty".
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