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211401112193 is a prime number
BaseRepresentation
bin1100010011100001111…
…1001111101010000001
3202012122220111012012222
43010320133033222001
511430422141042233
6241041043300425
721162500543105
oct3047037175201
9665586435188
10211401112193
1181722464577
1234b7997a715
1316c203873cb
14a336365905
155774346898
hex31387cfa81

211401112193 has 2 divisors, whose sum is σ = 211401112194. Its totient is φ = 211401112192.

The previous prime is 211401112187. The next prime is 211401112267. The reversal of 211401112193 is 391211104112.

211401112193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210027890944 + 1373221249 = 458288^2 + 37057^2 .

It is a cyclic number.

It is not a de Polignac number, because 211401112193 - 24 = 211401112177 is a prime.

It is not a weakly prime, because it can be changed into another prime (211401112493) 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, 105700556096 + 105700556097.

It is an arithmetic number, because the mean of its divisors is an integer number (105700556097).

Almost surely, 2211401112193 is an apocalyptic number.

It is an amenable number.

211401112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

211401112193 is an equidigital number, since it uses as much as digits as its factorization.

211401112193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 211401112193 in words is "two hundred eleven billion, four hundred one million, one hundred twelve thousand, one hundred ninety-three".