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221323110202144 = 2510216774091277
BaseRepresentation
bin110010010100101011001101…
…010111010011101100100000
31002000122021122002100220222001
4302110223031113103230200
5213002124212202432034
62102414233323053344
764422031664443546
oct6224531527235440
91060567562326861
10221323110202144
116457a670911495
12209a5a99971254
1396658ab502572
143c9214a803d96
151a8c1c6b77a14
hexc94acd5d3b20

221323110202144 has 24 divisors (see below), whose sum is σ = 436156641025308. Its totient is φ = 110553169624320.

The previous prime is 221323110202127. The next prime is 221323110202189. The reversal of 221323110202144 is 441202011323122.

It can be written as a sum of positive squares in 2 ways, for example, as 221317393027600 + 5717174544 = 14876740^2 + 75612^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3387012967 + ... + 3387078310.

Almost surely, 2221323110202144 is an apocalyptic number.

It is an amenable number.

221323110202144 is a deficient number, since it is larger than the sum of its proper divisors (214833530823164).

221323110202144 is a wasteful number, since it uses less digits than its factorization.

221323110202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774092308 (or 6774092300 counting only the distinct ones).

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

Adding to 221323110202144 its reverse (441202011323122), we get a palindrome (662525121525266).

The spelling of 221323110202144 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, one hundred ten million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 1021 2042 4084 8168 16336 32672 6774091277 13548182554 27096365108 54192730216 108385460432 216770920864 6916347193817 13832694387634 27665388775268 55330777550536 110661555101072 221323110202144