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10253209 is a prime number
BaseRepresentation
bin100111000111…
…001110011001
3201021220202111
4213013032121
510111100314
61003432321
7153102511
oct47071631
921256674
1010253209
11587342a
1235256a1
13217cbb5
14150c841
15d77ec4
hex9c7399

10253209 has 2 divisors, whose sum is σ = 10253210. Its totient is φ = 10253208.

The previous prime is 10253207. The next prime is 10253213. The reversal of 10253209 is 90235201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10220809 + 32400 = 3197^2 + 180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10253209 - 21 = 10253207 is a prime.

Together with 10253207, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10253209.

It is not a weakly prime, because it can be changed into another prime (10253203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5126604 + 5126605.

It is an arithmetic number, because the mean of its divisors is an integer number (5126605).

Almost surely, 210253209 is an apocalyptic number.

It is an amenable number.

10253209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10253209 is an equidigital number, since it uses as much as digits as its factorization.

10253209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 10253209 is about 3202.0632410994. The cubic root of 10253209 is about 217.2467409331.

The spelling of 10253209 in words is "ten million, two hundred fifty-three thousand, two hundred nine".