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221100221189 is a prime number
BaseRepresentation
bin1100110111101010011…
…0011010001100000101
3210010200212001222111002
43031322212122030011
512110303124034224
6245323321023045
721655032604601
oct3157246321405
9703625058432
10221100221189
118584a346731
1236a26024a85
1317b07924363
14a9b6562501
155b40abb9ae
hex337a99a305

221100221189 has 2 divisors, whose sum is σ = 221100221190. Its totient is φ = 221100221188.

The previous prime is 221100221159. The next prime is 221100221191. The reversal of 221100221189 is 981122001122.

221100221189 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., 152857540900 + 68242680289 = 390970^2 + 261233^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221100221189 is a prime.

Together with 221100221191, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221100221159) 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, 110550110594 + 110550110595.

It is an arithmetic number, because the mean of its divisors is an integer number (110550110595).

Almost surely, 2221100221189 is an apocalyptic number.

It is an amenable number.

221100221189 is a deficient number, since it is larger than the sum of its proper divisors (1).

221100221189 is an equidigital number, since it uses as much as digits as its factorization.

221100221189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 221100221189 in words is "two hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, one hundred eighty-nine".