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11110132200 = 23352195991627
BaseRepresentation
bin10100101100011011…
…10010100111101000
31001200021200012012210
422112031302213220
5140223143212300
65034240405120
7542214364656
oct122615624750
931607605183
1011110132200
11479141a842
1221a09167a0
1310809a7c2b
1477577bdd6
15450596050
hex2963729e8

11110132200 has 192 divisors, whose sum is σ = 36336960000. Its totient is φ = 2800362240.

The previous prime is 11110132199. The next prime is 11110132237. The reversal of 11110132200 is 223101111.

11110132200 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 (12).

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 47 ways as a sum of consecutive naturals, for example, 6827787 + ... + 6829413.

It is an arithmetic number, because the mean of its divisors is an integer number (189255000).

Almost surely, 211110132200 is an apocalyptic number.

11110132200 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 11110132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480000).

11110132200 is an abundant number, since it is smaller than the sum of its proper divisors (25226827800).

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

11110132200 is a wasteful number, since it uses less digits than its factorization.

11110132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11110132200 its reverse (223101111), we get a palindrome (11333233311).

The spelling of 11110132200 in words is "eleven billion, one hundred ten million, one hundred thirty-two thousand, two hundred".