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201111111133 is a prime number
BaseRepresentation
bin1011101101001100101…
…0000000010111011101
3201020002210000222102121
42323103022000113131
511243333421024013
6232220021022541
720346502145032
oct2732312002735
9636083028377
10201111111133
1178321a85469
1232b87854a51
1315c7059039a
149a3b8b3389
155370ca258d
hex2ed32805dd

201111111133 has 2 divisors, whose sum is σ = 201111111134. Its totient is φ = 201111111132.

The previous prime is 201111111109. The next prime is 201111111139. The reversal of 201111111133 is 331111111102.

201111111133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199011455449 + 2099655684 = 446107^2 + 45822^2 .

It is a cyclic number.

It is not a de Polignac number, because 201111111133 - 25 = 201111111101 is a prime.

It is a super-2 number, since 2×2011111111332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201111111139) 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, 100555555566 + 100555555567.

It is an arithmetic number, because the mean of its divisors is an integer number (100555555567).

Almost surely, 2201111111133 is an apocalyptic number.

It is an amenable number.

201111111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

201111111133 is an equidigital number, since it uses as much as digits as its factorization.

201111111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 201111111133 its reverse (331111111102), we get a palindrome (532222222235).

The spelling of 201111111133 in words is "two hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred thirty-three".