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10022009 is a prime number
BaseRepresentation
bin100110001110…
…110001111001
3200212011121112
4212032301321
510031201014
6554450105
7151120454
oct46166171
920764545
1010022009
115725758
123433935
1320cb8aa
14148c49b
15d2e73e
hex98ec79

10022009 has 2 divisors, whose sum is σ = 10022010. Its totient is φ = 10022008.

The previous prime is 10021969. The next prime is 10022011. The reversal of 10022009 is 90022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9859600 + 162409 = 3140^2 + 403^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022009 - 216 = 9956473 is a prime.

Together with 10022011, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021984 and 10022002.

It is not a weakly prime, because it can be changed into another prime (10022059) 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, 5011004 + 5011005.

It is an arithmetic number, because the mean of its divisors is an integer number (5011005).

Almost surely, 210022009 is an apocalyptic number.

It is an amenable number.

10022009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022009 is an equidigital number, since it uses as much as digits as its factorization.

10022009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10022009 is about 3165.7556759801. The cubic root of 10022009 is about 215.6014096995.

The spelling of 10022009 in words is "ten million, twenty-two thousand, nine".