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11113200 = 24345273
BaseRepresentation
bin101010011001…
…001011110000
3202220121110000
4222121023300
510321110300
61034110000
7163314000
oct52311360
922817400
1011113200
11630056a
12387b300
1323c1477
141694000
15e97c00
hexa992f0

11113200 has 300 divisors, whose sum is σ = 46512400. Its totient is φ = 2540160.

The previous prime is 11113183. The next prime is 11113213. The reversal of 11113200 is 231111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1587597 + ... + 1587603.

Almost surely, 211113200 is an apocalyptic number.

11113200 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 11113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23256200).

11113200 is an abundant number, since it is smaller than the sum of its proper divisors (35399200).

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

11113200 is an equidigital number, since it uses as much as digits as its factorization.

11113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11113200 is about 3333.6466519414. The cubic root of 11113200 is about 223.1582995283.

Adding to 11113200 its reverse (231111), we get a palindrome (11344311).

The spelling of 11113200 in words is "eleven million, one hundred thirteen thousand, two hundred".