| Base | Representation |
|---|---|
| bin | 11000110011100010… |
| … | …11110111011000000 |
| 3 | 1021101002212010201111 |
| 4 | 30121301132323000 |
| 5 | 204233212212000 |
| 6 | 10041244013104 |
| 7 | 651005134120 |
| oct | 143161367300 |
| 9 | 37332763644 |
| 10 | 13317304000 |
| 11 | 57142a8670 |
| 12 | 26b7b31194 |
| 13 | 134304aa50 |
| 14 | 904964c80 |
| 15 | 52e22ccba |
| hex | 319c5eec0 |
13317304000 has 448 divisors, whose sum is σ = 44307873792. Its totient is φ = 3829248000.
The previous prime is 13317303997. The next prime is 13317304001. The reversal of 13317304000 is 40371331.
It is a happy number.
13317304000 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 (448).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13317304001) 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 63 ways as a sum of consecutive naturals, for example, 8007169 + ... + 8008831.
It is an arithmetic number, because the mean of its divisors is an integer number (98901504).
Almost surely, 213317304000 is an apocalyptic number.
13317304000 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 13317304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22153936896).
13317304000 is an abundant number, since it is smaller than the sum of its proper divisors (30990569792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13317304000 is a wasteful number, since it uses less digits than its factorization.
13317304000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1721 (or 1701 counting only the distinct ones).
The product of its (nonzero) digits is 756, while the sum is 22.
Adding to 13317304000 its reverse (40371331), we get a palindrome (13357675331).
The spelling of 13317304000 in words is "thirteen billion, three hundred seventeen million, three hundred four thousand".
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