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213232324337 is a prime number
BaseRepresentation
bin1100011010010110100…
…0110000111011110001
3202101101112020102000222
43012211220300323301
511443144433334322
6241542500422425
721256044565034
oct3064550607361
9671345212028
10213232324337
11824820a733a
12353ab0a7a15
13171528850a6
14a46b64501b
15582eeb7e42
hex31a5a30ef1

213232324337 has 2 divisors, whose sum is σ = 213232324338. Its totient is φ = 213232324336.

The previous prime is 213232324307. The next prime is 213232324339. The reversal of 213232324337 is 733423232312.

213232324337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158869205056 + 54363119281 = 398584^2 + 233159^2 .

It is a cyclic number.

It is not a de Polignac number, because 213232324337 - 26 = 213232324273 is a prime.

Together with 213232324339, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 213232324297 and 213232324306.

It is not a weakly prime, because it can be changed into another prime (213232324339) by changing a digit.

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 as a sum of consecutive naturals, namely, 106616162168 + 106616162169.

It is an arithmetic number, because the mean of its divisors is an integer number (106616162169).

Almost surely, 2213232324337 is an apocalyptic number.

It is an amenable number.

213232324337 is a deficient number, since it is larger than the sum of its proper divisors (1).

213232324337 is an equidigital number, since it uses as much as digits as its factorization.

213232324337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 35.

Adding to 213232324337 its reverse (733423232312), we get a palindrome (946655556649).

The spelling of 213232324337 in words is "two hundred thirteen billion, two hundred thirty-two million, three hundred twenty-four thousand, three hundred thirty-seven".