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11011200 = 273523137
BaseRepresentation
bin101010000000…
…010010000000
3202201102112020
4222000102000
510304324300
61032001440
7162410424
oct52002200
922642466
1011011200
116240972
123830280
132386c05
141668b84
15e778a0
hexa80480

11011200 has 192 divisors, whose sum is σ = 38449920. Its totient is φ = 2764800.

The previous prime is 11011199. The next prime is 11011201. The reversal of 11011200 is 211011.

It is an interprime number because it is at equal distance from previous prime (11011199) and next prime (11011201).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (6).

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 not an unprimeable number, because it can be changed into a prime (11011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297582 + ... + 297618.

It is an arithmetic number, because the mean of its divisors is an integer number (200260).

Almost surely, 211011200 is an apocalyptic number.

11011200 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 11011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224960).

11011200 is an abundant number, since it is smaller than the sum of its proper divisors (27438720).

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

11011200 is a wasteful number, since it uses less digits than its factorization.

11011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11011200 is about 3318.3128243130. The cubic root of 11011200 is about 222.4734639902.

Adding to 11011200 its reverse (211011), we get a palindrome (11222211).

It can be divided in two parts, 11011 and 200, that added together give a palindrome (11211).

The spelling of 11011200 in words is "eleven million, eleven thousand, two hundred".