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2012101009 is a prime number
BaseRepresentation
bin111011111101110…
…0011100110010001
312012020010022200121
41313323203212101
513110044213014
6531354150241
7100601401462
oct16773434621
95166108617
102012101009
119428622a6
12481a22381
13260b23319
14151328d69
15bb9a3124
hex77ee3991

2012101009 has 2 divisors, whose sum is σ = 2012101010. Its totient is φ = 2012101008.

The previous prime is 2012101001. The next prime is 2012101031. The reversal of 2012101009 is 9001012102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1846592784 + 165508225 = 42972^2 + 12865^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012101009 - 23 = 2012101001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012100983 and 2012101001.

It is not a weakly prime, because it can be changed into another prime (2012101001) 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, 1006050504 + 1006050505.

It is an arithmetic number, because the mean of its divisors is an integer number (1006050505).

Almost surely, 22012101009 is an apocalyptic number.

It is an amenable number.

2012101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012101009 is an equidigital number, since it uses as much as digits as its factorization.

2012101009 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 16.

The square root of 2012101009 is about 44856.4489120572. The cubic root of 2012101009 is about 1262.4569948296.

The spelling of 2012101009 in words is "two billion, twelve million, one hundred one thousand, nine".