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221124133 is a prime number
BaseRepresentation
bin11010010111000…
…01011000100101
3120102002021021201
431023201120211
5423101433013
633535242501
75323344526
oct1513413045
9512067251
10221124133
1110390091a
1262079431
1336a722a9
142152084d
151462d3dd
hexd2e1625

221124133 has 2 divisors, whose sum is σ = 221124134. Its totient is φ = 221124132.

The previous prime is 221124131. The next prime is 221124157. The reversal of 221124133 is 331421122.

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., 219099204 + 2024929 = 14802^2 + 1423^2 .

It is a cyclic number.

It is not a de Polignac number, because 221124133 - 21 = 221124131 is a prime.

Together with 221124131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 221124133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221124131) 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, 110562066 + 110562067.

It is an arithmetic number, because the mean of its divisors is an integer number (110562067).

Almost surely, 2221124133 is an apocalyptic number.

It is an amenable number.

221124133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221124133 is an equidigital number, since it uses as much as digits as its factorization.

221124133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 221124133 is about 14870.2432058121. The cubic root of 221124133 is about 604.7075361690.

Adding to 221124133 its reverse (331421122), we get a palindrome (552545255).

The spelling of 221124133 in words is "two hundred twenty-one million, one hundred twenty-four thousand, one hundred thirty-three".