Base | Representation |
---|---|
bin | 1111110000101… |
… | …10001010000100 |
3 | 100012210000212000 |
4 | 13320112022010 |
5 | 232321230312 |
6 | 21041425300 |
7 | 3163530531 |
oct | 770261204 |
9 | 305700760 |
10 | 132211332 |
11 | 686a2370 |
12 | 3833b230 |
13 | 21511176 |
14 | 137b7d88 |
15 | b918adc |
hex | 7e16284 |
132211332 has 96 divisors (see below), whose sum is σ = 377731200. Its totient is φ = 39657600.
The previous prime is 132211327. The next prime is 132211333. The reversal of 132211332 is 233112231.
132211332 is a `hidden beast` number, since 1 + 322 + 11 + 332 = 666.
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 (132211333) 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, 128982 + ... + 130002.
It is an arithmetic number, because the mean of its divisors is an integer number (3934700).
Almost surely, 2132211332 is an apocalyptic number.
132211332 is a gapful number since it is divisible by the number (12) 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 132211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188865600).
132211332 is an abundant number, since it is smaller than the sum of its proper divisors (245519868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132211332 is a wasteful number, since it uses less digits than its factorization.
132211332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 132211332 is about 11498.3186596998. The cubic root of 132211332 is about 509.4359161192.
Adding to 132211332 its reverse (233112231), we get a palindrome (365323563).
The spelling of 132211332 in words is "one hundred thirty-two million, two hundred eleven thousand, three hundred thirty-two".
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