| Base | Representation |
|---|---|
| bin | 11000001111010100… |
| … | …10011010001111100 |
| 3 | 1020120221001210220111 |
| 4 | 30013222103101330 |
| 5 | 203122414301140 |
| 6 | 5551150555404 |
| 7 | 640325225203 |
| oct | 140752232174 |
| 9 | 36527053814 |
| 10 | 13013431420 |
| 11 | 5578819700 |
| 12 | 2632208b64 |
| 13 | 12c50c53a2 |
| 14 | 8b646423a |
| 15 | 5127067ea |
| hex | 307a9347c |
13013431420 has 144 divisors (see below), whose sum is σ = 31145748480. Its totient is φ = 4560716160.
The previous prime is 13013431369. The next prime is 13013431427. The reversal of 13013431420 is 2413431031.
13013431420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 13013431391 and 13013431400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13013431427) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8219949 + ... + 8221531.
It is an arithmetic number, because the mean of its divisors is an integer number (216289920).
Almost surely, 213013431420 is an apocalyptic number.
13013431420 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 13013431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572874240).
13013431420 is an abundant number, since it is smaller than the sum of its proper divisors (18132317060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13013431420 is a wasteful number, since it uses less digits than its factorization.
13013431420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1736 (or 1723 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 22.
Adding to 13013431420 its reverse (2413431031), we get a palindrome (15426862451).
The spelling of 13013431420 in words is "thirteen billion, thirteen million, four hundred thirty-one thousand, four hundred twenty".
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