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2112034993 is a prime number
BaseRepresentation
bin111110111100011…
…0001100010110001
312110012011111100021
41331320301202301
513311140104433
6545324123441
7103224000265
oct17570614261
95405144307
102112034993
11994209172
124ab396581
13278742a63
141607000a5
15c564322d
hex7de318b1

2112034993 has 2 divisors, whose sum is σ = 2112034994. Its totient is φ = 2112034992.

The previous prime is 2112034987. The next prime is 2112035011. The reversal of 2112034993 is 3994302112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1875582864 + 236452129 = 43308^2 + 15377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2112034993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2112034193) 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, 1056017496 + 1056017497.

It is an arithmetic number, because the mean of its divisors is an integer number (1056017497).

Almost surely, 22112034993 is an apocalyptic number.

It is an amenable number.

2112034993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112034993 is an equidigital number, since it uses as much as digits as its factorization.

2112034993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 2112034993 is about 45956.8818894407. The cubic root of 2112034993 is about 1283.0208178966.

The spelling of 2112034993 in words is "two billion, one hundred twelve million, thirty-four thousand, nine hundred ninety-three".