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2012009 is a prime number
BaseRepresentation
bin111101011001101101001
310210012221212
413223031221
51003341014
6111042505
723046626
oct7531551
93705855
102012009
11115471a
12810435
13555a4c
143a534d
1529b23e
hex1eb369

2012009 has 2 divisors, whose sum is σ = 2012010. Its totient is φ = 2012008.

The previous prime is 2011987. The next prime is 2012011. The reversal of 2012009 is 9002102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1849600 + 162409 = 1360^2 + 403^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012009 - 28 = 2011753 is a prime.

Together with 2012011, 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 = 2011984 and 2012002.

It is not a weakly prime, because it can be changed into another prime (2012909) 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, 1006004 + 1006005.

It is an arithmetic number, because the mean of its divisors is an integer number (1006005).

22012009 is an apocalyptic number.

It is an amenable number.

2012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012009 is an equidigital number, since it uses as much as digits as its factorization.

2012009 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 2012009 is about 1418.4530305935. The cubic root of 2012009 is about 126.2437751399.

The spelling of 2012009 in words is "two million, twelve thousand, nine".