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2100112909 is a prime number
BaseRepresentation
bin111110100101101…
…0010111000001101
312102100201210022121
41331023102320031
513300112103114
6544220412541
7103020444106
oct17513227015
95370653277
102100112909
11988505a04
124a73a7151
1327612a37b
1415ccb93ad
15c458aa24
hex7d2d2e0d

2100112909 has 2 divisors, whose sum is σ = 2100112910. Its totient is φ = 2100112908.

The previous prime is 2100112907. The next prime is 2100112943. The reversal of 2100112909 is 9092110012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2029502500 + 70610409 = 45050^2 + 8403^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100112909 - 21 = 2100112907 is a prime.

Together with 2100112907, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100112907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050056454 + 1050056455.

It is an arithmetic number, because the mean of its divisors is an integer number (1050056455).

Almost surely, 22100112909 is an apocalyptic number.

It is an amenable number.

2100112909 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100112909 is an equidigital number, since it uses as much as digits as its factorization.

2100112909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 2100112909 is about 45826.9888711881. The cubic root of 2100112909 is about 1280.6021151973.

The spelling of 2100112909 in words is "two billion, one hundred million, one hundred twelve thousand, nine hundred nine".