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1024121103444 = 223285813315209
BaseRepresentation
bin11101110011100100101…
…11111110010001010100
310121220102202112102212200
432321302113332101110
5113234400000302234
62102250313244500
7133663450514535
oct16716227762124
93556382472780
101024121103444
11365366733a2a
12146594103730
13757606b710a
14377d3ba868c
151b98e1c9d99
hexee725fe454

1024121103444 has 36 divisors (see below), whose sum is σ = 2589053032020. Its totient is φ = 341333815680.

The previous prime is 1024121103443. The next prime is 1024121103451. The reversal of 1024121103444 is 4443011214201.

1024121103444 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 211 + 0 + 3 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 490070002500 + 534051100944 = 700050^2 + 730788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10241211034442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024121103443) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1348689 + ... + 1966520.

Almost surely, 21024121103444 is an apocalyptic number.

It is an amenable number.

1024121103444 is an abundant number, since it is smaller than the sum of its proper divisors (1564931928576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1024121103444 is a wasteful number, since it uses less digits than its factorization.

1024121103444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323800 (or 3323795 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1024121103444 its reverse (4443011214201), we get a palindrome (5467132317645).

The spelling of 1024121103444 in words is "one trillion, twenty-four billion, one hundred twenty-one million, one hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 8581 17162 25743 34324 51486 77229 102972 154458 308916 3315209 6630418 9945627 13260836 19891254 29836881 39782508 59673762 119347524 28447808429 56895616858 85343425287 113791233716 170686850574 256030275861 341373701148 512060551722 1024121103444