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10008281 is a prime number
BaseRepresentation
bin100110001011…
…011011011001
3200211110210002
4212023123121
510030231111
6554302345
7151032443
oct46133331
920743702
1010008281
115716408
1234279b5
1320c557a
141487493
15d2a63b
hex98b6d9

10008281 has 2 divisors, whose sum is σ = 10008282. Its totient is φ = 10008280.

The previous prime is 10008263. The next prime is 10008283. The reversal of 10008281 is 18280001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9096256 + 912025 = 3016^2 + 955^2 .

It is a cyclic number.

It is not a de Polignac number, because 10008281 - 26 = 10008217 is a prime.

It is a super-2 number, since 2×100082812 = 200331377149922, which contains 22 as substring.

Together with 10008283, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10008283) 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, 5004140 + 5004141.

It is an arithmetic number, because the mean of its divisors is an integer number (5004141).

Almost surely, 210008281 is an apocalyptic number.

It is an amenable number.

10008281 is a deficient number, since it is larger than the sum of its proper divisors (1).

10008281 is an equidigital number, since it uses as much as digits as its factorization.

10008281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 10008281 is about 3163.5867302794. The cubic root of 10008281 is about 215.5029221740.

Adding to 10008281 its reverse (18280001), we get a palindrome (28288282).

The spelling of 10008281 in words is "ten million, eight thousand, two hundred eighty-one".