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11332221120 = 26325112311049
BaseRepresentation
bin10101000110111001…
…11111100011000000
31002020202120110221100
422203130333203000
5141202022033440
65112252454400
7550552201353
oct124334774300
932222513840
1011332221120
11489581a500
12224317a400
1310b79c73ac
1479707029a
15464d15230
hex2a373f8c0

11332221120 has 504 divisors, whose sum is σ = 44267932800. Its totient is φ = 2656051200.

The previous prime is 11332221107. The next prime is 11332221181. The reversal of 11332221120 is 2112223311.

11332221120 is a `hidden beast` number, since 113 + 322 + 211 + 20 = 666.

11332221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11332221093 and 11332221102.

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 71 ways as a sum of consecutive naturals, for example, 10802356 + ... + 10803404.

It is an arithmetic number, because the mean of its divisors is an integer number (87833200).

Almost surely, 211332221120 is an apocalyptic number.

11332221120 is a gapful number since it is divisible by the number (10) 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 11332221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22133966400).

11332221120 is an abundant number, since it is smaller than the sum of its proper divisors (32935711680).

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

11332221120 is a wasteful number, since it uses less digits than its factorization.

11332221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11332221120 its reverse (2112223311), we get a palindrome (13444444431).

The spelling of 11332221120 in words is "eleven billion, three hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty".