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13003009 is a prime number
BaseRepresentation
bin110001100110…
…100100000001
3220110121202221
4301212210001
511312044014
61142411041
7215344435
oct61464401
926417687
1013003009
117381398
124430a81
1329036b6
141a269c5
15121cb24
hexc66901

13003009 has 2 divisors, whose sum is σ = 13003010. Its totient is φ = 13003008.

The previous prime is 13003007. The next prime is 13003013. The reversal of 13003009 is 90030031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11730625 + 1272384 = 3425^2 + 1128^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003009 - 21 = 13003007 is a prime.

Together with 13003007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13002983 and 13003001.

It is not a weakly prime, because it can be changed into another prime (13003007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501504 + 6501505.

It is an arithmetic number, because the mean of its divisors is an integer number (6501505).

Almost surely, 213003009 is an apocalyptic number.

It is an amenable number.

13003009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003009 is an equidigital number, since it uses as much as digits as its factorization.

13003009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 13003009 is about 3605.9685245437. The cubic root of 13003009 is about 235.1516088240.

The spelling of 13003009 in words is "thirteen million, three thousand, nine".