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221441443321 = 72157281102437
BaseRepresentation
bin1100111000111011110…
…0000100010111111001
3210011120122010212020211
43032032330010113321
512112003002141241
6245421230351121
721666345132400
oct3161674042771
9704518125224
10221441443321
1185a04a1599a
1236b0035b4a1
1317b60526047
14aa099c6637
155b60a1e781
hex338ef045f9

221441443321 has 24 divisors (see below), whose sum is σ = 260160969096. Its totient is φ = 187924988160.

The previous prime is 221441443291. The next prime is 221441443357. The reversal of 221441443321 is 123344144122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89123743296 + 132317700025 = 298536^2 + 363755^2 .

It is not a de Polignac number, because 221441443321 - 221 = 221439346169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221441443361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2110515 + ... + 2212951.

It is an arithmetic number, because the mean of its divisors is an integer number (10840040379).

Almost surely, 2221441443321 is an apocalyptic number.

It is an amenable number.

221441443321 is a deficient number, since it is larger than the sum of its proper divisors (38719525775).

221441443321 is a wasteful number, since it uses less digits than its factorization.

221441443321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102889 (or 102882 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 221441443321 its reverse (123344144122), we get a palindrome (344785587443).

The spelling of 221441443321 in words is "two hundred twenty-one billion, four hundred forty-one million, four hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 7 49 157 281 1099 1967 7693 13769 44117 102437 308819 717059 2161733 5019413 16082609 28784797 112578263 201493579 788047841 1410455053 4519213129 31634491903 221441443321