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111003344400 = 243521325128349
BaseRepresentation
bin110011101100001010…
…0001001111000010000
3101121112000101011010210
41213120110021320100
53304313324010100
6122554430524120
711006523600534
oct1473024117020
9347460334123
10111003344400
1143092548663
121961a966640
13a610338410
145530561bc4
152d4a239c50
hex19d8509e10

111003344400 has 240 divisors, whose sum is σ = 384472267200. Its totient is φ = 27214080000.

The previous prime is 111003344371. The next prime is 111003344401. The reversal of 111003344400 is 4443300111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1110033444002 (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (111003344401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3901426 + ... + 3929774.

It is an arithmetic number, because the mean of its divisors is an integer number (1601967780).

Almost surely, 2111003344400 is an apocalyptic number.

111003344400 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 111003344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192236133600).

111003344400 is an abundant number, since it is smaller than the sum of its proper divisors (273468922800).

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

111003344400 is a wasteful number, since it uses less digits than its factorization.

111003344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28634 (or 28623 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 111003344400 its reverse (4443300111), we get a palindrome (115446644511).

The spelling of 111003344400 in words is "one hundred eleven billion, three million, three hundred forty-four thousand, four hundred".