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221244411331 = 6731110979679
BaseRepresentation
bin1100111000001100110…
…0011100110111000011
3210011001220101121011201
43032003030130313003
512111102032130311
6245345511322031
721661433316166
oct3160314346703
9704056347151
10221244411331
118591377a939
1236a66380317
1317b2b76a978
14a9cb777add
155b4d59e9c1
hex338331cdc3

221244411331 has 16 divisors (see below), whose sum is σ = 225497226240. Its totient is φ = 217021020480.

The previous prime is 221244411317. The next prime is 221244411341. The reversal of 221244411331 is 133114442122.

It is a happy number.

221244411331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221244411331 - 235 = 186884672963 is a prime.

It is a super-2 number, since 2×2212444113312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221244411331.

It is not an unprimeable number, because it can be changed into a prime (221244411301) 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 in 15 ways as a sum of consecutive naturals, for example, 22853350 + ... + 22863028.

It is an arithmetic number, because the mean of its divisors is an integer number (14093576640).

Almost surely, 2221244411331 is an apocalyptic number.

221244411331 is a deficient number, since it is larger than the sum of its proper divisors (4252814909).

221244411331 is a wasteful number, since it uses less digits than its factorization.

221244411331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11154.

The product of its digits is 4608, while the sum is 28.

Adding to 221244411331 its reverse (133114442122), we get a palindrome (354358853453).

The spelling of 221244411331 in words is "two hundred twenty-one billion, two hundred forty-four million, four hundred eleven thousand, three hundred thirty-one".

Divisors: 1 67 311 1097 9679 20837 73499 341167 648493 3010169 10617863 22858189 201681323 711396821 3302155393 221244411331