Base | Representation |
---|---|
bin | 1100011001111110101… |
… | …1010010100110100000 |
3 | 202101010120001211022100 |
4 | 3012133223102212200 |
5 | 11442443333320412 |
6 | 241524525210400 |
7 | 21253421566443 |
oct | 3063753224640 |
9 | 671116054270 |
10 | 213132323232 |
11 | 82430704aa4 |
12 | 35381700a00 |
13 | 17137c40c3a |
14 | a45c25365a |
15 | 5826312edc |
hex | 319fad29a0 |
213132323232 has 72 divisors (see below), whose sum is σ = 616031079300. Its totient is φ = 69879444480.
The previous prime is 213132323221. The next prime is 213132323321. The reversal of 213132323232 is 232323231312.
213132323232 is a `hidden beast` number, since 2 + 1 + 313 + 2 + 323 + 23 + 2 = 666.
213132323232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 198769738896 + 14362584336 = 445836^2 + 119844^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 213132323196 and 213132323205.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6048357 + ... + 6083492.
Almost surely, 2213132323232 is an apocalyptic number.
It is an amenable number.
213132323232 is an abundant number, since it is smaller than the sum of its proper divisors (402898756068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213132323232 is a wasteful number, since it uses less digits than its factorization.
213132323232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12131926 (or 12131915 counting only the distinct ones).
The product of its digits is 7776, while the sum is 27.
Adding to 213132323232 its reverse (232323231312), we get a palindrome (445455554544).
The spelling of 213132323232 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred thirty-two".
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