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2012100091 is a prime number
BaseRepresentation
bin111011111101110…
…0011010111111011
312012020010021102121
41313323203113323
513110044200331
6531354142111
7100601366011
oct16773432773
95166107377
102012100091
11942861641
12481a21937
13260b22a91
141513288b1
15bb9a2c11
hex77ee35fb

2012100091 has 2 divisors, whose sum is σ = 2012100092. Its totient is φ = 2012100090.

The previous prime is 2012100089. The next prime is 2012100107. The reversal of 2012100091 is 1900012102.

It is an a-pointer prime, because the next prime (2012100107) can be obtained adding 2012100091 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2012100091 - 21 = 2012100089 is a prime.

Together with 2012100089, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2012100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006050045 + 1006050046.

It is an arithmetic number, because the mean of its divisors is an integer number (1006050046).

Almost surely, 22012100091 is an apocalyptic number.

2012100091 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012100091 is an equidigital number, since it uses as much as digits as its factorization.

2012100091 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 2012100091 is about 44856.4386794137. The cubic root of 2012100091 is about 1262.4568028353.

Adding to 2012100091 its reverse (1900012102), we get a palindrome (3912112193).

The spelling of 2012100091 in words is "two billion, twelve million, one hundred thousand, ninety-one".