Base | Representation |
---|---|
bin | 10011001001010… |
… | …101001011001100 |
3 | 211101102022120200 |
4 | 103021111023030 |
5 | 1124212310012 |
6 | 51512413500 |
7 | 10650160302 |
oct | 2311251314 |
9 | 741368520 |
10 | 321213132 |
11 | 1553531a9 |
12 | 8b6a7290 |
13 | 51717456 |
14 | 30936272 |
15 | 1d2ee3dc |
hex | 132552cc |
321213132 has 72 divisors (see below), whose sum is σ = 838219200. Its totient is φ = 103638528.
The previous prime is 321213127. The next prime is 321213149. The reversal of 321213132 is 231312123.
321213132 is a `hidden beast` number, since 321 + 213 + 132 = 666.
321213132 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
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.
321213132 is strictly pandigital in base 9.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317844 + ... + 318852.
Almost surely, 2321213132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 321213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419109600).
321213132 is an abundant number, since it is smaller than the sum of its proper divisors (517006068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
321213132 is a wasteful number, since it uses less digits than its factorization.
321213132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1295 (or 1290 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 321213132 is about 17922.4198142996. The cubic root of 321213132 is about 684.8536331030.
Adding to 321213132 its reverse (231312123), we get a palindrome (552525255).
It can be divided in two parts, 32121 and 3132, that added together give a palindrome (35253).
The spelling of 321213132 in words is "three hundred twenty-one million, two hundred thirteen thousand, one hundred thirty-two".
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