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10364213 is a prime number
BaseRepresentation
bin100111100010…
…010100110101
3201111120000202
4213202110311
510123123323
61010050245
7154044236
oct47422465
921446022
1010364213
115939872
123579985
1321bb592
14153b08d
15d9ad28
hex9e2535

10364213 has 2 divisors, whose sum is σ = 10364214. Its totient is φ = 10364212.

The previous prime is 10364209. The next prime is 10364219. The reversal of 10364213 is 31246301.

10364213 is digitally balanced in base 2, 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., 8868484 + 1495729 = 2978^2 + 1223^2 .

It is an emirp because it is prime and its reverse (31246301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10364213 - 22 = 10364209 is a prime.

It is a super-3 number, since 3×103642133 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10364219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5182106 + 5182107.

It is an arithmetic number, because the mean of its divisors is an integer number (5182107).

Almost surely, 210364213 is an apocalyptic number.

It is an amenable number.

10364213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10364213 is an equidigital number, since it uses as much as digits as its factorization.

10364213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 10364213 is about 3219.3497790703. The cubic root of 10364213 is about 218.0279191580.

The spelling of 10364213 in words is "ten million, three hundred sixty-four thousand, two hundred thirteen".