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11230000333200 = 243252112950319441
BaseRepresentation
bin1010001101101011000000…
…1011100100000110010000
31110202120121000212012020200
42203122300023210012100
52432443020041130300
635514554012535200
72236224606564525
oct243326013440620
943676530765220
1011230000333200
11363a686471510
121314548481500
13635ca4bc3b7c
142ab76bb4b14c
151471b87c1200
hexa36b02e4190

11230000333200 has 720 divisors, whose sum is σ = 44069763104640. Its totient is φ = 2623186944000.

The previous prime is 11230000333199. The next prime is 11230000333267. The reversal of 11230000333200 is 233300003211.

11230000333200 is a `hidden beast` number, since 1 + 12 + 300 + 0 + 0 + 33 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×112300003332002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 577635480 + ... + 577654920.

It is an arithmetic number, because the mean of its divisors is an integer number (61208004312).

Almost surely, 211230000333200 is an apocalyptic number.

11230000333200 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 11230000333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22034881552320).

11230000333200 is an abundant number, since it is smaller than the sum of its proper divisors (32839762771440).

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

11230000333200 is a wasteful number, since it uses less digits than its factorization.

11230000333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20008 (or 19994 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11230000333200 its reverse (233300003211), we get a palindrome (11463300336411).

The spelling of 11230000333200 in words is "eleven trillion, two hundred thirty billion, three hundred thirty-three thousand, two hundred".