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2109812993 is a prime number
BaseRepresentation
bin111110111000001…
…0011000100000001
312110000222121022222
41331300103010001
513310103003433
6545204340425
7103166054201
oct17560230401
95400877288
102109812993
11992a30802
124aa6a4715
13278145572
141602c2401
15c5354b98
hex7dc13101

2109812993 has 2 divisors, whose sum is σ = 2109812994. Its totient is φ = 2109812992.

The previous prime is 2109812989. The next prime is 2109813007. The reversal of 2109812993 is 3992189012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1449477184 + 660335809 = 38072^2 + 25697^2 .

It is a cyclic number.

It is not a de Polignac number, because 2109812993 - 22 = 2109812989 is a prime.

It is not a weakly prime, because it can be changed into another prime (2109812983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1054906496 + 1054906497.

It is an arithmetic number, because the mean of its divisors is an integer number (1054906497).

Almost surely, 22109812993 is an apocalyptic number.

It is an amenable number.

2109812993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2109812993 is an equidigital number, since it uses as much as digits as its factorization.

2109812993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 2109812993 is about 45932.7006935146. The cubic root of 2109812993 is about 1282.5707191972.

The spelling of 2109812993 in words is "two billion, one hundred nine million, eight hundred twelve thousand, nine hundred ninety-three".