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11213443024 = 2472142910009
BaseRepresentation
bin10100111000101111…
…11000111111010000
31001221111001221000121
422130113320333100
5140431120134044
65052411000024
7544610456500
oct123427707720
931844057017
1011213443024
114834772793
12220b439014
13109920a6b4
14785391a00
154596a1984
hex29c5f8fd0

11213443024 has 60 divisors (see below), whose sum is σ = 25293368100. Its totient is φ = 4801918464.

The previous prime is 11213443019. The next prime is 11213443061. The reversal of 11213443024 is 42034431211.

It can be written as a sum of positive squares in 2 ways, for example, as 6735156624 + 4478286400 = 82068^2 + 66920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11213443024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1115332 + ... + 1125340.

It is an arithmetic number, because the mean of its divisors is an integer number (421556135).

Almost surely, 211213443024 is an apocalyptic number.

11213443024 is a gapful number since it is divisible by the number (14) 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 11213443024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646684050).

11213443024 is an abundant number, since it is smaller than the sum of its proper divisors (14079925076).

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

11213443024 is a wasteful number, since it uses less digits than its factorization.

11213443024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11460 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11213443024 its reverse (42034431211), we get a palindrome (53247874235).

The spelling of 11213443024 in words is "eleven billion, two hundred thirteen million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1429 2858 5716 10003 10009 11432 20006 20018 22864 40012 40036 70021 70063 80024 80072 140042 140126 160048 160144 280084 280252 490441 560168 560504 980882 1120336 1121008 1961764 3923528 7847056 14302861 28605722 57211444 100120027 114422888 200240054 228845776 400480108 700840189 800960216 1401680378 1601920432 2803360756 5606721512 11213443024