| Base | Representation |
|---|---|
| bin | 11000111110111101… |
| … | …11011100111111000 |
| 3 | 1021121210010021210002 |
| 4 | 30133132323213320 |
| 5 | 204432223312440 |
| 6 | 10054545212132 |
| 7 | 653250334553 |
| oct | 143736734770 |
| 9 | 37553107702 |
| 10 | 13413104120 |
| 11 | 5763390719 |
| 12 | 2724031048 |
| 13 | 1359b50a00 |
| 14 | 91358169a |
| 15 | 537853115 |
| hex | 31f7bb9f8 |
13413104120 has 96 divisors (see below), whose sum is σ = 34100805600. Its totient is φ = 4737148416.
The previous prime is 13413104069. The next prime is 13413104123. The reversal of 13413104120 is 2140131431.
It is a super-2 number, since 2×134131041202 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 13413104092 and 13413104101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13413104123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112346 + ... + 198614.
It is an arithmetic number, because the mean of its divisors is an integer number (355216725).
Almost surely, 213413104120 is an apocalyptic number.
13413104120 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 13413104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050402800).
13413104120 is an abundant number, since it is smaller than the sum of its proper divisors (20687701480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13413104120 is a wasteful number, since it uses less digits than its factorization.
13413104120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 86329 (or 86312 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
Adding to 13413104120 its reverse (2140131431), we get a palindrome (15553235551).
The spelling of 13413104120 in words is "thirteen billion, four hundred thirteen million, one hundred four thousand, one hundred twenty".
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