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211200112219 is a prime number
BaseRepresentation
bin1100010010110010000…
…0011111011001011011
3202012010220021100002111
43010230200133121123
511430014212042334
6241005103213151
721154510222255
oct3045440373133
9665126240074
10211200112219
1181629a59298
1234b225a71b7
1316bba83cc05
14a3177a2cd5
155761891064
hex312c81f65b

211200112219 has 2 divisors, whose sum is σ = 211200112220. Its totient is φ = 211200112218.

The previous prime is 211200112199. The next prime is 211200112261. The reversal of 211200112219 is 912211002112.

211200112219 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 is a cyclic number.

It is not a de Polignac number, because 211200112219 - 217 = 211199981147 is a prime.

It is a super-2 number, since 2×2112001122192 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211200112219.

It is not a weakly prime, because it can be changed into another prime (211200115219) 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, 105600056109 + 105600056110.

It is an arithmetic number, because the mean of its divisors is an integer number (105600056110).

Almost surely, 2211200112219 is an apocalyptic number.

211200112219 is a deficient number, since it is larger than the sum of its proper divisors (1).

211200112219 is an equidigital number, since it uses as much as digits as its factorization.

211200112219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 211200112219 in words is "two hundred eleven billion, two hundred million, one hundred twelve thousand, two hundred nineteen".