| Base | Representation |
|---|---|
| bin | 1111111000011… |
| … | …11001001100000 |
| 3 | 100021200211211220 |
| 4 | 13330033021200 |
| 5 | 233101344300 |
| 6 | 21115335040 |
| 7 | 3205306104 |
| oct | 774171140 |
| 9 | 307624756 |
| 10 | 133231200 |
| 11 | 69229633 |
| 12 | 38751480 |
| 13 | 217aa43b |
| 14 | 139a1904 |
| 15 | ba6ada0 |
| hex | 7f0f260 |
133231200 has 144 divisors (see below), whose sum is σ = 444096576. Its totient is φ = 34675200.
The previous prime is 133231187. The next prime is 133231201. The reversal of 133231200 is 2132331.
133231200 is digitally balanced in base 3, 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 (15).
It is a self number, because there is not a number n which added to its sum of digits gives 133231200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133231201) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102555 + ... + 103845.
It is an arithmetic number, because the mean of its divisors is an integer number (3084004).
Almost surely, 2133231200 is an apocalyptic number.
133231200 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 133231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222048288).
133231200 is an abundant number, since it is smaller than the sum of its proper divisors (310865376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133231200 is a wasteful number, since it uses less digits than its factorization.
133231200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1357 (or 1344 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 133231200 is about 11542.5820334967. The cubic root of 133231200 is about 510.7424787139.
Adding to 133231200 its reverse (2132331), we get a palindrome (135363531).
The spelling of 133231200 in words is "one hundred thirty-three million, two hundred thirty-one thousand, two hundred".
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