| Base | Representation |
|---|---|
| bin | 111101111100101000… |
| … | …1111000001000000000 |
| 3 | 110201101011201210012200 |
| 4 | 1323321101320020000 |
| 5 | 4134421443411000 |
| 6 | 141040320553200 |
| 7 | 12416431546302 |
| oct | 1737121701000 |
| 9 | 421334653180 |
| 10 | 133031232000 |
| 11 | 51466731647 |
| 12 | 21947a82800 |
| 13 | c710ba2a34 |
| 14 | 661dcc1972 |
| 15 | 36d9026500 |
| hex | 1ef9478200 |
133031232000 has 480 divisors, whose sum is σ = 484296596784. Its totient is φ = 35094528000.
The previous prime is 133031231923. The next prime is 133031232001. The reversal of 133031232000 is 232130331.
133031232000 is a `hidden beast` number, since 1 + 3 + 30 + 312 + 320 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 6557112576 + 126474119424 = 80976^2 + 355632^2 .
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-3 number, since 3×1330312320003 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (133031232001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55870810 + ... + 55873190.
Almost surely, 2133031232000 is an apocalyptic number.
133031232000 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 133031232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242148298392).
133031232000 is an abundant number, since it is smaller than the sum of its proper divisors (351265364784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133031232000 is an equidigital number, since it uses as much as digits as its factorization.
133031232000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2517 (or 2488 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 133031232000 its reverse (232130331), we get a palindrome (133263362331).
The spelling of 133031232000 in words is "one hundred thirty-three billion, thirty-one million, two hundred thirty-two thousand".
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