Base | Representation |
---|---|
bin | 1111110000000… |
… | …10010100111110 |
3 | 100012121220102210 |
4 | 13320002110332 |
5 | 232311130420 |
6 | 21040001250 |
7 | 3163041660 |
oct | 770022476 |
9 | 305556383 |
10 | 132130110 |
11 | 68647342 |
12 | 38300226 |
13 | 214b31c8 |
14 | 13796530 |
15 | b8ee9e0 |
hex | 7e0253e |
132130110 has 64 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 30076032.
The previous prime is 132130093. The next prime is 132130111. The reversal of 132130110 is 11031231.
132130110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1321301102 = 34916731937224200, which contains 22 as substring.
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132130111) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55321 + ... + 57659.
It is an arithmetic number, because the mean of its divisors is an integer number (5686200).
Almost surely, 2132130110 is an apocalyptic number.
132130110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 132130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).
132130110 is an abundant number, since it is smaller than the sum of its proper divisors (231786690).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132130110 is a wasteful number, since it uses less digits than its factorization.
132130110 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2625.
The product of its (nonzero) digits is 18, while the sum is 12.
The square root of 132130110 is about 11494.7862094082. The cubic root of 132130110 is about 509.3315733738.
Adding to 132130110 its reverse (11031231), we get a palindrome (143161341).
The spelling of 132130110 in words is "one hundred thirty-two million, one hundred thirty thousand, one hundred ten".
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