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213132323232 = 25326112131849
BaseRepresentation
bin1100011001111110101…
…1010010100110100000
3202101010120001211022100
43012133223102212200
511442443333320412
6241524525210400
721253421566443
oct3063753224640
9671116054270
10213132323232
1182430704aa4
1235381700a00
1317137c40c3a
14a45c25365a
155826312edc
hex319fad29a0

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".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 12131849 24263698 36395547 48527396 72791094 97054792 109186641 145582188 194109584 218373282 291164376 388219168 436746564 582328752 740042789 873493128 1164657504 1480085578 1746986256 2220128367 2960171156 3493972512 4440256734 5920342312 6660385101 8880513468 11840684624 13320770202 17761026936 23681369248 26641540404 35522053872 53283080808 71044107744 106566161616 213132323232