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2112293761 is a prime number
BaseRepresentation
bin111110111100111…
…0000101110000001
312110012122122022021
41331321300232001
513311221400021
6545333441441
7103226125564
oct17571605601
95405578267
102112293761
11994375626
124ab4a0281
13278803786
1416076a4db
15c5694c41
hex7de70b81

2112293761 has 2 divisors, whose sum is σ = 2112293762. Its totient is φ = 2112293760.

The previous prime is 2112293749. The next prime is 2112293789. The reversal of 2112293761 is 1673922112.

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., 1689210000 + 423083761 = 41100^2 + 20569^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112293761 - 225 = 2078739329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112293731) 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, 1056146880 + 1056146881.

It is an arithmetic number, because the mean of its divisors is an integer number (1056146881).

Almost surely, 22112293761 is an apocalyptic number.

It is an amenable number.

2112293761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112293761 is an equidigital number, since it uses as much as digits as its factorization.

2112293761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 34.

The square root of 2112293761 is about 45959.6971378185. The cubic root of 2112293761 is about 1283.0732146252.

The spelling of 2112293761 in words is "two billion, one hundred twelve million, two hundred ninety-three thousand, seven hundred sixty-one".