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10007021 is a prime number
BaseRepresentation
bin100110001011…
…000111101101
3200211102001102
4212023013231
510030211041
6554252445
7151025663
oct46130755
920742042
1010007021
115715472
123427125
1320c4b1b
141486c33
15d2a09b
hex98b1ed

10007021 has 2 divisors, whose sum is σ = 10007022. Its totient is φ = 10007020.

The previous prime is 10006987. The next prime is 10007051. The reversal of 10007021 is 12070001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9066121 + 940900 = 3011^2 + 970^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007021 - 26 = 10006957 is a prime.

It is a super-3 number, since 3×100070213 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10006993 and 10007011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10007051) 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, 5003510 + 5003511.

It is an arithmetic number, because the mean of its divisors is an integer number (5003511).

Almost surely, 210007021 is an apocalyptic number.

It is an amenable number.

10007021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007021 is an equidigital number, since it uses as much as digits as its factorization.

10007021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 10007021 is about 3163.3875829560. The cubic root of 10007021 is about 215.4938781608.

Adding to 10007021 its reverse (12070001), we get a palindrome (22077022).

The spelling of 10007021 in words is "ten million, seven thousand, twenty-one".