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2109918193 is a prime number
BaseRepresentation
bin111110111000010…
…1100101111110001
312110001011221122021
41331300230233301
513310114340233
6545210511441
7103200002665
oct17560545761
95401157567
102109918193
11992aa2849
124aa735581
13278181406
1416030c8a5
15c5375e2d
hex7dc2cbf1

2109918193 has 2 divisors, whose sum is σ = 2109918194. Its totient is φ = 2109918192.

The previous prime is 2109918191. The next prime is 2109918211. The reversal of 2109918193 is 3918199012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2093337009 + 16581184 = 45753^2 + 4072^2 .

It is a cyclic number.

It is not a de Polignac number, because 2109918193 - 21 = 2109918191 is a prime.

Together with 2109918191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2109918191) 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, 1054959096 + 1054959097.

It is an arithmetic number, because the mean of its divisors is an integer number (1054959097).

Almost surely, 22109918193 is an apocalyptic number.

It is an amenable number.

2109918193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2109918193 is an equidigital number, since it uses as much as digits as its factorization.

2109918193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 2109918193 is about 45933.8458328932. The cubic root of 2109918193 is about 1282.5920361255.

The spelling of 2109918193 in words is "two billion, one hundred nine million, nine hundred eighteen thousand, one hundred ninety-three".