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2012000009 is a prime number
BaseRepresentation
bin111011111101100…
…1010111100001001
312012012221012010212
41313323022330021
513110033000014
6531352050505
7100600501145
oct16773127411
95165835125
102012000009
119427a3428
12481993a35
13260ab9366
14151300225
15bb98323e
hex77ecaf09

2012000009 has 2 divisors, whose sum is σ = 2012000010. Its totient is φ = 2012000008.

The previous prime is 2011999991. The next prime is 2012000033. The reversal of 2012000009 is 9000002102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1493436025 + 518563984 = 38645^2 + 22772^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012000009 - 216 = 2011934473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011999957 and 2012000002.

It is not a weakly prime, because it can be changed into another prime (2012000069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006000004 + 1006000005.

It is an arithmetic number, because the mean of its divisors is an integer number (1006000005).

Almost surely, 22012000009 is an apocalyptic number.

It is an amenable number.

2012000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012000009 is an equidigital number, since it uses as much as digits as its factorization.

2012000009 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 2012000009 is about 44855.3230843341. The cubic root of 2012000009 is about 1262.4358709249.

The spelling of 2012000009 in words is "two billion, twelve million, nine", and thus it is an aban number and an uban number.