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11241172224 = 28351371319
BaseRepresentation
bin10100111100000011…
…01010110100000000
31002000102020201100000
422132001222310000
5141010220002344
65055241200000
7545365246602
oct123601526400
932012221300
1011241172224
114849392087
122218790000
1310a1b98bc9
14788d2d172
1545bd2ca69
hex29e06ad00

11241172224 has 216 divisors, whose sum is σ = 33882488640. Its totient is φ = 3716886528.

The previous prime is 11241172139. The next prime is 11241172231. The reversal of 11241172224 is 42227114211.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8521837 + ... + 8523155.

Almost surely, 211241172224 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 11241172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941244320).

11241172224 is an abundant number, since it is smaller than the sum of its proper divisors (22641316416).

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

11241172224 is an equidigital number, since it uses as much as digits as its factorization.

11241172224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1461 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

Adding to 11241172224 its reverse (42227114211), we get a palindrome (53468286435).

The spelling of 11241172224 in words is "eleven billion, two hundred forty-one million, one hundred seventy-two thousand, two hundred twenty-four".