Base | Representation |
---|---|
bin | 111101100001110101… |
… | …1100101000100000000 |
3 | 110122001111200001210210 |
4 | 1323003223211010000 |
5 | 4131101243000000 |
6 | 140411155154120 |
7 | 12355232316540 |
oct | 1730353450400 |
9 | 418044601723 |
10 | 132132000000 |
11 | 51045084300 |
12 | 217368a5940 |
13 | c5c97b7ab0 |
14 | 65766c5320 |
15 | 36850ec350 |
hex | 1ec3ae5100 |
132132000000 has 1512 divisors, whose sum is σ = 594668638144. Its totient is φ = 25344000000.
The previous prime is 132131999983. The next prime is 132132000019. The reversal of 132132000000 is 231231.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 132132000000.
It is an unprimeable number.
It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10163999994 + ... + 10164000006.
Almost surely, 2132132000000 is an apocalyptic number.
132132000000 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 132132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297334319072).
132132000000 is an abundant number, since it is smaller than the sum of its proper divisors (462536638144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132132000000 is an frugal number, since it uses more digits than its factorization.
132132000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 91 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
Adding to 132132000000 its reverse (231231), we get a palindrome (132132231231).
It can be divided in two parts, 132 and 132000000, that multiplied together give a square (17424000000 = 1320002).
The spelling of 132132000000 in words is "one hundred thirty-two billion, one hundred thirty-two million", and thus it is an aban number.
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