| Base | Representation |
|---|---|
| bin | 1111110111100… |
| … | …01111000100100 |
| 3 | 100021110202102100 |
| 4 | 13323301320210 |
| 5 | 233034030312 |
| 6 | 21113012100 |
| 7 | 3204266454 |
| oct | 773617044 |
| 9 | 307422370 |
| 10 | 133111332 |
| 11 | 69157572 |
| 12 | 386b4030 |
| 13 | 21767a03 |
| 14 | 1396dd64 |
| 15 | ba455dc |
| hex | 7ef1e24 |
133111332 has 72 divisors (see below), whose sum is σ = 346574592. Its totient is φ = 43056000.
The previous prime is 133111331. The next prime is 133111369. The reversal of 133111332 is 233111331.
It is a happy number.
133111332 is a `hidden beast` number, since 1 + 331 + 1 + 1 + 332 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (133111331) 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, 255232 + ... + 255752.
It is an arithmetic number, because the mean of its divisors is an integer number (4813536).
Almost surely, 2133111332 is an apocalyptic number.
133111332 is a gapful number since it is divisible by the number (12) 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 133111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173287296).
133111332 is an abundant number, since it is smaller than the sum of its proper divisors (213463260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133111332 is a wasteful number, since it uses less digits than its factorization.
133111332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 729 (or 724 counting only the distinct ones).
The product of its digits is 162, while the sum is 18.
The square root of 133111332 is about 11537.3884393306. The cubic root of 133111332 is about 510.5892612269.
Adding to 133111332 its reverse (233111331), we get a palindrome (366222663).
Subtracting 133111332 from its reverse (233111331), we obtain a palindrome (99999999).
The spelling of 133111332 in words is "one hundred thirty-three million, one hundred eleven thousand, three hundred thirty-two".
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