Search a number
-
+
201111111101 is a prime number
BaseRepresentation
bin1011101101001100101…
…0000000010110111101
3201020002210000222101102
42323103022000112331
511243333421023401
6232220021022445
720346502144655
oct2732312002675
9636083028342
10201111111101
1178321a8543a
1232b87854a25
1315c70590374
149a3b8b3365
155370ca256b
hex2ed32805bd

201111111101 has 2 divisors, whose sum is σ = 201111111102. Its totient is φ = 201111111100.

The previous prime is 201111111043. The next prime is 201111111109. The reversal of 201111111101 is 101111111102.

It is a happy number.

201111111101 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., 150148500100 + 50962611001 = 387490^2 + 225749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201111111101 is a prime.

It is a super-3 number, since 3×2011111111013 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201111111109) 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, 100555555550 + 100555555551.

It is an arithmetic number, because the mean of its divisors is an integer number (100555555551).

Almost surely, 2201111111101 is an apocalyptic number.

It is an amenable number.

201111111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201111111101 is an equidigital number, since it uses as much as digits as its factorization.

201111111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 201111111101 its reverse (101111111102), we get a palindrome (302222222203).

Subtracting from 201111111101 its reverse (101111111102), we obtain a palindrome (99999999999).

The spelling of 201111111101 in words is "two hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred one".