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2112122609 is a prime number
BaseRepresentation
bin111110111100100…
…0110111011110001
312110012022221112022
41331321012323301
513311200410414
6545330041225
7103224513602
oct17571067361
95405287468
102112122609
11994268a83
124ab419215
132787738bc
14160723da9
15c565e18e
hex7de46ef1

2112122609 has 2 divisors, whose sum is σ = 2112122610. Its totient is φ = 2112122608.

The previous prime is 2112122603. The next prime is 2112122611. The reversal of 2112122609 is 9062212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1762320400 + 349802209 = 41980^2 + 18703^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2112122609 is a prime.

It is a super-2 number, since 2×21121226092 = 8922123830897933762, which contains 22 as substring.

Together with 2112122611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2112122603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056061304 + 1056061305.

It is an arithmetic number, because the mean of its divisors is an integer number (1056061305).

Almost surely, 22112122609 is an apocalyptic number.

It is an amenable number.

2112122609 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112122609 is an equidigital number, since it uses as much as digits as its factorization.

2112122609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 2112122609 is about 45957.8351209019. The cubic root of 2112122609 is about 1283.0385593321.

The spelling of 2112122609 in words is "two billion, one hundred twelve million, one hundred twenty-two thousand, six hundred nine".