Base | Representation |
---|---|
bin | 11000110010101100… |
… | …11001110110110000 |
3 | 1021100121111111012220 |
4 | 30121112121312300 |
5 | 204224403032420 |
6 | 10040431521040 |
7 | 650560610304 |
oct | 143126316660 |
9 | 37317444186 |
10 | 13310205360 |
11 | 571029a321 |
12 | 26b5689180 |
13 | 134173397a |
14 | 903a37d04 |
15 | 52d7c9840 |
hex | 319599db0 |
13310205360 has 160 divisors (see below), whose sum is σ = 42889754880. Its totient is φ = 3411661824.
The previous prime is 13310205343. The next prime is 13310205361. The reversal of 13310205360 is 6350201331.
It is a happy number.
13310205360 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 (24).
It is a self number, because there is not a number n which added to its sum of digits gives 13310205360.
It is not an unprimeable number, because it can be changed into a prime (13310205361) 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 31 ways as a sum of consecutive naturals, for example, 728011 + ... + 746069.
It is an arithmetic number, because the mean of its divisors is an integer number (268060968).
Almost surely, 213310205360 is an apocalyptic number.
13310205360 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 13310205360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21444877440).
13310205360 is an abundant number, since it is smaller than the sum of its proper divisors (29579549520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13310205360 is a wasteful number, since it uses less digits than its factorization.
13310205360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18195 (or 18189 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 24.
Adding to 13310205360 its reverse (6350201331), we get a palindrome (19660406691).
The spelling of 13310205360 in words is "thirteen billion, three hundred ten million, two hundred five thousand, three hundred sixty".
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