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211938193 is a prime number
BaseRepresentation
bin11001010000111…
…10101110010001
3112202210120112201
430220132232101
5413224010233
633010323201
75152305415
oct1450365621
9482716481
10211938193
11a96a7335
125ab89501
1334ba711c
142020cd45
151391677d
hexca1eb91

211938193 has 2 divisors, whose sum is σ = 211938194. Its totient is φ = 211938192.

The previous prime is 211938191. The next prime is 211938203. The reversal of 211938193 is 391839112.

211938193 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., 149401729 + 62536464 = 12223^2 + 7908^2 .

It is a cyclic number.

It is not a de Polignac number, because 211938193 - 21 = 211938191 is a prime.

Together with 211938191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211938191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105969096 + 105969097.

It is an arithmetic number, because the mean of its divisors is an integer number (105969097).

Almost surely, 2211938193 is an apocalyptic number.

It is an amenable number.

211938193 is a deficient number, since it is larger than the sum of its proper divisors (1).

211938193 is an equidigital number, since it uses as much as digits as its factorization.

211938193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 37.

The square root of 211938193 is about 14558.0971627476. The cubic root of 211938193 is about 596.2152438255.

The spelling of 211938193 in words is "two hundred eleven million, nine hundred thirty-eight thousand, one hundred ninety-three".