| Base | Representation |
|---|---|
| bin | 10100110111110001… |
| … | …00011111101000000 |
| 3 | 1001220220121200102100 |
| 4 | 22123320203331000 |
| 5 | 140422014333100 |
| 6 | 5051514550400 |
| 7 | 544450613130 |
| oct | 123370437500 |
| 9 | 31826550370 |
| 10 | 11205230400 |
| 11 | 48300734a1 |
| 12 | 2208738400 |
| 13 | 10975c3560 |
| 14 | 784254ac0 |
| 15 | 458acd400 |
| hex | 29be23f40 |
11205230400 has 1008 divisors, whose sum is σ = 52003171584. Its totient is φ = 2220687360.
The previous prime is 11205230389. The next prime is 11205230429. The reversal of 11205230400 is 403250211.
11205230400 is a `hidden beast` number, since 11 + 20 + 5 + 230 + 400 = 666.
11205230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
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, 22276549 + ... + 22277051.
It is an arithmetic number, because the mean of its divisors is an integer number (51590448).
Almost surely, 211205230400 is an apocalyptic number.
11205230400 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 11205230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26001585792).
11205230400 is an abundant number, since it is smaller than the sum of its proper divisors (40797941184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11205230400 is a wasteful number, since it uses less digits than its factorization.
11205230400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 568 (or 550 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
Adding to 11205230400 its reverse (403250211), we get a palindrome (11608480611).
The spelling of 11205230400 in words is "eleven billion, two hundred five million, two hundred thirty thousand, four hundred".
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