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213323000221 is a prime number
BaseRepresentation
bin1100011010101100001…
…0101010100110011101
3202101121211212012222001
43012223002222212131
511443341142001341
6241555500122301
721261225404152
oct3065302524635
9671554765861
10213323000221
11825192aa491
1235415536391
13171685b2866
14a4796ca229
155837e29d31
hex31ab0aa99d

213323000221 has 2 divisors, whose sum is σ = 213323000222. Its totient is φ = 213323000220.

The previous prime is 213323000183. The next prime is 213323000239. The reversal of 213323000221 is 122000323312.

213323000221 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., 137070252900 + 76252747321 = 370230^2 + 276139^2 .

It is a cyclic number.

It is not a de Polignac number, because 213323000221 - 215 = 213322967453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213323000291) 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, 106661500110 + 106661500111.

It is an arithmetic number, because the mean of its divisors is an integer number (106661500111).

Almost surely, 2213323000221 is an apocalyptic number.

It is an amenable number.

213323000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

213323000221 is an equidigital number, since it uses as much as digits as its factorization.

213323000221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213323000221 its reverse (122000323312), we get a palindrome (335323323533).

The spelling of 213323000221 in words is "two hundred thirteen billion, three hundred twenty-three million, two hundred twenty-one", and thus it is an aban number.