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22101113 is a prime number
BaseRepresentation
bin101010001001…
…1110001111001
31112120212000202
41110103301321
521124213423
62105411545
7355566506
oct124236171
945525022
1022101113
1111525991
127499bb5
13476a8a8
142d144ad
151e18728
hex1513c79

22101113 has 2 divisors, whose sum is σ = 22101114. Its totient is φ = 22101112.

The previous prime is 22101083. The next prime is 22101143. The reversal of 22101113 is 31110122.

Adding to 22101113 its reverse (31110122), we get a palindrome (53211235).

Subtracting 22101113 from its reverse (31110122), we obtain a palindrome (9009009).

It is a balanced prime because it is at equal distance from previous prime (22101083) and next prime (22101143).

It can be written as a sum of positive squares in only one way, i.e., 21827584 + 273529 = 4672^2 + 523^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101113 - 26 = 22101049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22101094 and 22101103.

It is not a weakly prime, because it can be changed into another prime (22101143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050556 + 11050557.

It is an arithmetic number, because the mean of its divisors is an integer number (11050557).

Almost surely, 222101113 is an apocalyptic number.

It is an amenable number.

22101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101113 is an equidigital number, since it uses as much as digits as its factorization.

22101113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 22101113 is about 4701.1820853909. The cubic root of 22101113 is about 280.6325537523.

The spelling of 22101113 in words is "twenty-two million, one hundred one thousand, one hundred thirteen".