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10008221 is a prime number
BaseRepresentation
bin100110001011…
…011010011101
3200211110200212
4212023122131
510030230341
6554302205
7151032326
oct46133235
920743625
1010008221
115716363
123427965
1320c5532
14148744d
15d2a5eb
hex98b69d

10008221 has 2 divisors, whose sum is σ = 10008222. Its totient is φ = 10008220.

The previous prime is 10008217. The next prime is 10008247. The reversal of 10008221 is 12280001.

10008221 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., 8916196 + 1092025 = 2986^2 + 1045^2 .

It is a cyclic number.

It is not a de Polignac number, because 10008221 - 22 = 10008217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10008196 and 10008205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10008281) 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, 5004110 + 5004111.

It is an arithmetic number, because the mean of its divisors is an integer number (5004111).

Almost surely, 210008221 is an apocalyptic number.

It is an amenable number.

10008221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10008221 is an equidigital number, since it uses as much as digits as its factorization.

10008221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 10008221 is about 3163.5772473578. The cubic root of 10008221 is about 215.5024915240.

Adding to 10008221 its reverse (12280001), we get a palindrome (22288222).

The spelling of 10008221 in words is "ten million, eight thousand, two hundred twenty-one".