| Base | Representation |
|---|---|
| bin | 111101100111101111… |
| … | …1011001001000100000 |
| 3 | 110122120022111012211000 |
| 4 | 1323033133121020200 |
| 5 | 4132003003211000 |
| 6 | 140442553552000 |
| 7 | 12363156364053 |
| oct | 1731737311040 |
| 9 | 418508435730 |
| 10 | 132330132000 |
| 11 | 51136a00860 |
| 12 | 21791115600 |
| 13 | c62b869a71 |
| 14 | 6594b3ca9a |
| 15 | 36976d8000 |
| hex | 1ecf7d9220 |
132330132000 has 1536 divisors, whose sum is σ = 570621542400. Its totient is φ = 29449728000.
The previous prime is 132330131993. The next prime is 132330132007. The reversal of 132330132000 is 231033231.
132330132000 is a `hidden beast` number, since 13 + 2 + 330 + 1 + 320 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (132330131993) and next prime (132330132007).
It is a super-4 number, since 4×1323301320004 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
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 (132330132007) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 792395917 + ... + 792396083.
It is an arithmetic number, because the mean of its divisors is an integer number (371498400).
Almost surely, 2132330132000 is an apocalyptic number.
132330132000 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 132330132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285310771200).
132330132000 is an abundant number, since it is smaller than the sum of its proper divisors (438291410400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132330132000 is a wasteful number, since it uses less digits than its factorization.
132330132000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 264 (or 240 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 132330132000 its reverse (231033231), we get a palindrome (132561165231).
The spelling of 132330132000 in words is "one hundred thirty-two billion, three hundred thirty million, one hundred thirty-two thousand".
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