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1003324112 = 24722939119
BaseRepresentation
bin111011110011011…
…000001011010000
32120220221010221022
4323303120023100
54023322332422
6243320415012
733602054120
oct7363301320
92526833838
101003324112
1147539428a
12240017468
1312cb3220b
1497374c80
155d13b342
hex3bcd82d0

1003324112 has 40 divisors (see below), whose sum is σ = 2231404800. Its totient is φ = 428107392.

The previous prime is 1003324103. The next prime is 1003324123. The reversal of 1003324112 is 2114233001.

1003324112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6089 + ... + 45207.

It is an arithmetic number, because the mean of its divisors is an integer number (55785120).

Almost surely, 21003324112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115702400).

1003324112 is an abundant number, since it is smaller than the sum of its proper divisors (1228080688).

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

1003324112 is a wasteful number, since it uses less digits than its factorization.

1003324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39363 (or 39357 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1003324112 is about 31675.2918218601. The cubic root of 1003324112 is about 1001.1068118489.

Adding to 1003324112 its reverse (2114233001), we get a palindrome (3117557113).

The spelling of 1003324112 in words is "one billion, three million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 229 458 916 1603 1832 3206 3664 6412 12824 25648 39119 78238 156476 273833 312952 547666 625904 1095332 2190664 4381328 8958251 17916502 35833004 62707757 71666008 125415514 143332016 250831028 501662056 1003324112