Base | Representation |
---|---|
bin | 1111110001100… |
… | …00111101101100 |
3 | 100012222121110200 |
4 | 13320300331230 |
5 | 232333234012 |
6 | 21044033500 |
7 | 3164465616 |
oct | 770607554 |
9 | 305877420 |
10 | 132321132 |
11 | 68767909 |
12 | 38392890 |
13 | 2154c138 |
14 | 13805db6 |
15 | b93b3dc |
hex | 7e30f6c |
132321132 has 36 divisors (see below), whose sum is σ = 354155256. Its totient is φ = 41512320.
The previous prime is 132321131. The next prime is 132321143. The reversal of 132321132 is 231123231.
132321132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×1323211322 = 35017763947522848, which contains 22 as substring.
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 (132321131) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107494 + ... + 108717.
It is an arithmetic number, because the mean of its divisors is an integer number (9837646).
Almost surely, 2132321132 is an apocalyptic number.
132321132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
132321132 is an abundant number, since it is smaller than the sum of its proper divisors (221834124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132321132 is a wasteful number, since it uses less digits than its factorization.
132321132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 216238 (or 216233 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 132321132 is about 11503.0922799046. The cubic root of 132321132 is about 509.5769039986.
Adding to 132321132 its reverse (231123231), we get a palindrome (363444363).
The spelling of 132321132 in words is "one hundred thirty-two million, three hundred twenty-one thousand, one hundred thirty-two".
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