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2003130244224 = 273283132115859
BaseRepresentation
bin11101001001100011110…
…111011101110010000000
321002111102120221201210100
4131021203313131302000
5230304402320303344
64132120401002400
7264502302066354
oct35114367356200
97074376851710
102003130244224
1170258288a68a
12284278323400
13116b81c1b5a5
146cd484bb464
153718cbec569
hex1d263dddc80

2003130244224 has 192 divisors, whose sum is σ = 5838448543200. Its totient is φ = 659124449280.

The previous prime is 2003130244217. The next prime is 2003130244237. The reversal of 2003130244224 is 4224420313002.

2003130244224 is a `hidden beast` number, since 200 + 3 + 1 + 30 + 2 + 4 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126300807 + ... + 126316665.

Almost surely, 22003130244224 is an apocalyptic number.

2003130244224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003130244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919224271600).

2003130244224 is an abundant number, since it is smaller than the sum of its proper divisors (3835318298976).

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

2003130244224 is a wasteful number, since it uses less digits than its factorization.

2003130244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17283 (or 17268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2003130244224 its reverse (4224420313002), we get a palindrome (6227550557226).

The spelling of 2003130244224 in words is "two trillion, three billion, one hundred thirty million, two hundred forty-four thousand, two hundred twenty-four".