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11112122213 is a prime number
BaseRepresentation
bin10100101100101010…
…11000011101100101
31001200102102021222222
422112111120131211
5140224200402323
65034351202125
7542240323523
oct122625303545
931612367888
1011112122213
114792559985
1221a1516345
13108122395a
14775b39313
1545083a9c8
hex296558765

11112122213 has 2 divisors, whose sum is σ = 11112122214. Its totient is φ = 11112122212.

The previous prime is 11112122209. The next prime is 11112122237. The reversal of 11112122213 is 31222121111.

It is a happy number.

11112122213 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., 6214641889 + 4897480324 = 78833^2 + 69982^2 .

It is a cyclic number.

It is not a de Polignac number, because 11112122213 - 22 = 11112122209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11112122191 and 11112122200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11112122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556061106 + 5556061107.

It is an arithmetic number, because the mean of its divisors is an integer number (5556061107).

Almost surely, 211112122213 is an apocalyptic number.

It is an amenable number.

11112122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

11112122213 is an equidigital number, since it uses as much as digits as its factorization.

11112122213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 17.

Adding to 11112122213 its reverse (31222121111), we get a palindrome (42334243324).

The spelling of 11112122213 in words is "eleven billion, one hundred twelve million, one hundred twenty-two thousand, two hundred thirteen".