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2100113209 is a prime number
BaseRepresentation
bin111110100101101…
…0010111100111001
312102100201210201201
41331023102330321
513300112110314
6544220414201
7103020445015
oct17513227471
95370653651
102100113209
11988506157
124a73a7361
1327612a54c
1415ccb9545
15c458ab74
hex7d2d2f39

2100113209 has 2 divisors, whose sum is σ = 2100113210. Its totient is φ = 2100113208.

The previous prime is 2100113203. The next prime is 2100113261. The reversal of 2100113209 is 9023110012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1459010809 + 641102400 = 38197^2 + 25320^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100113209 - 211 = 2100111161 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100113203) 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, 1050056604 + 1050056605.

It is an arithmetic number, because the mean of its divisors is an integer number (1050056605).

Almost surely, 22100113209 is an apocalyptic number.

It is an amenable number.

2100113209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100113209 is an equidigital number, since it uses as much as digits as its factorization.

2100113209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 2100113209 is about 45826.9921443684. The cubic root of 2100113209 is about 1280.6021761751.

The spelling of 2100113209 in words is "two billion, one hundred million, one hundred thirteen thousand, two hundred nine".