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221113381 is a prime number
BaseRepresentation
bin11010010110111…
…10110000100101
3120102001201112111
431023132300211
5423101112011
633535121021
75323301266
oct1513366045
9512051474
10221113381
111038a3835
1262073171
1336a6a428
142151a96d
151462a121
hexd2dec25

221113381 has 2 divisors, whose sum is σ = 221113382. Its totient is φ = 221113380.

The previous prime is 221113379. The next prime is 221113397. The reversal of 221113381 is 183311122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111492481 + 109620900 = 10559^2 + 10470^2 .

It is a cyclic number.

It is not a de Polignac number, because 221113381 - 21 = 221113379 is a prime.

It is a super-2 number, since 2×2211133812 = 97782254514502322, which contains 22 as substring.

Together with 221113379, it forms a pair of twin primes.

It is equal to p12180406 and since 221113381 and 12180406 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221113301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110556690 + 110556691.

It is an arithmetic number, because the mean of its divisors is an integer number (110556691).

Almost surely, 2221113381 is an apocalyptic number.

It is an amenable number.

221113381 is a deficient number, since it is larger than the sum of its proper divisors (1).

221113381 is an equidigital number, since it uses as much as digits as its factorization.

221113381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 22.

The square root of 221113381 is about 14869.8816740417. The cubic root of 221113381 is about 604.6977348556.

The spelling of 221113381 in words is "two hundred twenty-one million, one hundred thirteen thousand, three hundred eighty-one".