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11113332224 = 2925186477
BaseRepresentation
bin10100101100110011…
…11111111000000000
31001200111200202211012
422112121333320000
5140230003112344
65034433140052
7542253523331
oct122631777000
931614622735
1011113332224
114793205a95
1221a19ba628
131081558637
14775d72288
154509c929e
hex29667fe00

11113332224 has 40 divisors (see below), whose sum is σ = 22293682488. Its totient is φ = 5534464000.

The previous prime is 11113332127. The next prime is 11113332233. The reversal of 11113332224 is 42223331111.

11113332224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11113332224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85274 + ... + 171750.

Almost surely, 211113332224 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 11113332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11146841244).

11113332224 is an abundant number, since it is smaller than the sum of its proper divisors (11180350264).

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

11113332224 is an frugal number, since it uses more digits than its factorization.

11113332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86746 (or 86730 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

Adding to 11113332224 its reverse (42223331111), we get a palindrome (53336663335).

The spelling of 11113332224 in words is "eleven billion, one hundred thirteen million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 512 1004 2008 4016 8032 16064 32128 64256 86477 128512 172954 345908 691816 1383632 2767264 5534528 11069056 21705727 22138112 43411454 44276224 86822908 173645816 347291632 694583264 1389166528 2778333056 5556666112 11113332224