| Base | Representation |
|---|---|
| bin | 1111111000011… |
| … | …11100101110100 |
| 3 | 100021200221100000 |
| 4 | 13330033211310 |
| 5 | 233101424022 |
| 6 | 21115351300 |
| 7 | 3205314303 |
| oct | 774174564 |
| 9 | 307627300 |
| 10 | 133233012 |
| 11 | 6922aa30 |
| 12 | 38752530 |
| 13 | 217ab203 |
| 14 | 139a243a |
| 15 | ba6b6ac |
| hex | 7f0f974 |
133233012 has 144 divisors (see below), whose sum is σ = 403970112. Its totient is φ = 37946880.
The previous prime is 133233007. The next prime is 133233017. The reversal of 133233012 is 210332331.
133233012 is a `hidden beast` number, since 1 + 332 + 330 + 1 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (133233007) and next prime (133233017).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133233017) 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 47 ways as a sum of consecutive naturals, for example, 181398 + ... + 182130.
It is an arithmetic number, because the mean of its divisors is an integer number (2805348).
Almost surely, 2133233012 is an apocalyptic number.
133233012 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 133233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201985056).
133233012 is an abundant number, since it is smaller than the sum of its proper divisors (270737100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133233012 is a wasteful number, since it uses less digits than its factorization.
133233012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 780 (or 766 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 133233012 is about 11542.6605251996. The cubic root of 133233012 is about 510.7447941405.
Adding to 133233012 its reverse (210332331), we get a palindrome (343565343).
The spelling of 133233012 in words is "one hundred thirty-three million, two hundred thirty-three thousand, twelve".
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