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9823204213 is a prime number
BaseRepresentation
bin10010010011000001…
…00011001101110101
3221100121002110220021
421021200203031311
5130104220013323
64302425205141
7465266600224
oct111140431565
927317073807
109823204213
114190a40799
121aa19307b1
13c07198b94
146928a0cbb
153c75d905d
hex249823375

9823204213 has 2 divisors, whose sum is σ = 9823204214. Its totient is φ = 9823204212.

The previous prime is 9823204211. The next prime is 9823204271. The reversal of 9823204213 is 3124023289.

It is a happy number.

9823204213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8015083729 + 1808120484 = 89527^2 + 42522^2 .

It is a cyclic number.

It is not a de Polignac number, because 9823204213 - 21 = 9823204211 is a prime.

Together with 9823204211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9823204211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4911602106 + 4911602107.

It is an arithmetic number, because the mean of its divisors is an integer number (4911602107).

Almost surely, 29823204213 is an apocalyptic number.

It is an amenable number.

9823204213 is a deficient number, since it is larger than the sum of its proper divisors (1).

9823204213 is an equidigital number, since it uses as much as digits as its factorization.

9823204213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 9823204213 is about 99112.0790469053. The cubic root of 9823204213 is about 2141.6626242084.

The spelling of 9823204213 in words is "nine billion, eight hundred twenty-three million, two hundred four thousand, two hundred thirteen".