| Base | Representation |
|---|---|
| bin | 100111001000100… |
| … | …1000010000100000 |
| 3 | 10101111212001120021 |
| 4 | 1032101020100200 |
| 5 | 10142124104440 |
| 6 | 334144323224 |
| 7 | 44353164064 |
| oct | 11621102040 |
| 9 | 3344761507 |
| 10 | 1313113120 |
| 11 | 614244360 |
| 12 | 307913514 |
| 13 | 17c079817 |
| 14 | c6575aa4 |
| 15 | 7a43084a |
| hex | 4e448420 |
1313113120 has 192 divisors, whose sum is σ = 3497800320. Its totient is φ = 461824000.
The previous prime is 1313113117. The next prime is 1313113141. The reversal of 1313113120 is 213113131.
It is a super-2 number, since 2×13131131202 = 3448532131832268800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 1313113094 and 1313113103.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13001070 + ... + 13001170.
It is an arithmetic number, because the mean of its divisors is an integer number (18217710).
Almost surely, 21313113120 is an apocalyptic number.
1313113120 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 1313113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748900160).
1313113120 is an abundant number, since it is smaller than the sum of its proper divisors (2184687200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1313113120 is a wasteful number, since it uses less digits than its factorization.
1313113120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 299 (or 291 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 16.
The square root of 1313113120 is about 36236.9027374029. The cubic root of 1313113120 is about 1095.0502454651.
Adding to 1313113120 its reverse (213113131), we get a palindrome (1526226251).
It can be divided in two parts, 131311 and 3120, that added together give a palindrome (134431).
The spelling of 1313113120 in words is "one billion, three hundred thirteen million, one hundred thirteen thousand, one hundred twenty".
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