| Base | Representation |
|---|---|
| bin | 11000110010111010… |
| … | …11100111100001000 |
| 3 | 1021100201222100201000 |
| 4 | 30121131130330020 |
| 5 | 204230341144000 |
| 6 | 10040535255000 |
| 7 | 650612404101 |
| oct | 143135347410 |
| 9 | 37321870630 |
| 10 | 13312053000 |
| 11 | 57113414a4 |
| 12 | 26b621a460 |
| 13 | 1341c2c94c |
| 14 | 903d993a8 |
| 15 | 52da42000 |
| hex | 31975cf08 |
13312053000 has 256 divisors, whose sum is σ = 46740096000. Its totient is φ = 3504945600.
The previous prime is 13312052993. The next prime is 13312053059. The reversal of 13312053000 is 35021331.
The cubic root of 13312053000 is 2370.
It is a perfect power (a cube), and thus also a powerful number.
13312053000 is a `hidden beast` number, since 13 + 3 + 120 + 530 + 0 + 0 = 666.
13312053000 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 (18).
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 63 ways as a sum of consecutive naturals, for example, 168506961 + ... + 168507039.
It is an arithmetic number, because the mean of its divisors is an integer number (182578500).
Almost surely, 213312053000 is an apocalyptic number.
13312053000 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 13312053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23370048000).
13312053000 is an abundant number, since it is smaller than the sum of its proper divisors (33428043000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13312053000 is an frugal number, since it uses more digits than its factorization.
13312053000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 18.
Adding to 13312053000 its reverse (35021331), we get a palindrome (13347074331).
The spelling of 13312053000 in words is "thirteen billion, three hundred twelve million, fifty-three thousand".
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