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221443041137 is a prime number
BaseRepresentation
bin1100111000111100001…
…0001010011101110001
3210011120202011001001012
43032033002022131301
512112003404304022
6245421324520305
721666364535633
oct3161702123561
9704522131035
10221443041137
1185a059073aa
1236b009b0095
1317b609653b6
14aa09cc0a53
155b60c37de2
hex338f08a771

221443041137 has 2 divisors, whose sum is σ = 221443041138. Its totient is φ = 221443041136.

The previous prime is 221443041089. The next prime is 221443041191. The reversal of 221443041137 is 731140344122.

221443041137 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., 161809889536 + 59633151601 = 402256^2 + 244199^2 .

It is a cyclic number.

It is not a de Polignac number, because 221443041137 - 28 = 221443040881 is a prime.

It is not a weakly prime, because it can be changed into another prime (221443041037) 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, 110721520568 + 110721520569.

It is an arithmetic number, because the mean of its divisors is an integer number (110721520569).

Almost surely, 2221443041137 is an apocalyptic number.

It is an amenable number.

221443041137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221443041137 is an equidigital number, since it uses as much as digits as its factorization.

221443041137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 221443041137 its reverse (731140344122), we get a palindrome (952583385259).

The spelling of 221443041137 in words is "two hundred twenty-one billion, four hundred forty-three million, forty-one thousand, one hundred thirty-seven".