| Base | Representation |
|---|---|
| bin | 11000110011110111… |
| … | …10100010110010000 |
| 3 | 1021101021221210001020 |
| 4 | 30121323310112100 |
| 5 | 204234410410300 |
| 6 | 10041422035440 |
| 7 | 651040146504 |
| oct | 143173642620 |
| 9 | 37337853036 |
| 10 | 13320013200 |
| 11 | 571588907a |
| 12 | 26b8a18b80 |
| 13 | 1343788c20 |
| 14 | 90506c304 |
| 15 | 52e5b58a0 |
| hex | 319ef4590 |
13320013200 has 240 divisors, whose sum is σ = 47536749120. Its totient is φ = 3165603840.
The previous prime is 13320013183. The next prime is 13320013237. The reversal of 13320013200 is 231002331.
13320013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 13320013200.
It is an unprimeable number.
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, 437679 + ... + 467121.
It is an arithmetic number, because the mean of its divisors is an integer number (198069788).
Almost surely, 213320013200 is an apocalyptic number.
13320013200 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 13320013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23768374560).
13320013200 is an abundant number, since it is smaller than the sum of its proper divisors (34216735920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13320013200 is a wasteful number, since it uses less digits than its factorization.
13320013200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29506 (or 29495 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
Adding to 13320013200 its reverse (231002331), we get a palindrome (13551015531).
The spelling of 13320013200 in words is "thirteen billion, three hundred twenty million, thirteen thousand, two hundred".
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