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11000332200 = 233521113294421
BaseRepresentation
bin10100011111010101…
…11011111110101000
31001101122001202221010
422033222323332220
5140012041112300
65015315143520
7536412165234
oct121752737650
931348052833
1011000332200
114735445440
12216bba4ba0
131064012910
14764d595c4
15445b07a50
hex28fabbfa8

11000332200 has 384 divisors, whose sum is σ = 41453596800. Its totient is φ = 2376192000.

The previous prime is 11000332183. The next prime is 11000332219. The reversal of 11000332200 is 223300011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2485990 + ... + 2490410.

It is an arithmetic number, because the mean of its divisors is an integer number (107952075).

Almost surely, 211000332200 is an apocalyptic number.

11000332200 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 11000332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726798400).

11000332200 is an abundant number, since it is smaller than the sum of its proper divisors (30453264600).

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

11000332200 is a wasteful number, since it uses less digits than its factorization.

11000332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11000332200 its reverse (223300011), we get a palindrome (11223632211).

The spelling of 11000332200 in words is "eleven billion, three hundred thirty-two thousand, two hundred".