Base | Representation |
---|---|
bin | 1010001101001101101100… |
… | …1100010101001111101000 |
3 | 1110201211021200020110221200 |
4 | 2203103123030111033220 |
5 | 2432330411244121300 |
6 | 35511213135404200 |
7 | 2235525615202503 |
oct | 243233314251750 |
9 | 43654250213850 |
10 | 11222132020200 |
11 | 3637308a684a2 |
12 | 1312b11383660 |
13 | 63531ca3a36a |
14 | 2ab222b6213a |
15 | 146da7b39200 |
hex | a34db3153e8 |
11222132020200 has 144 divisors (see below), whose sum is σ = 37710251112300. Its totient is φ = 2990774707200.
The previous prime is 11222132020153. The next prime is 11222132020213. The reversal of 11222132020200 is 202023122211.
11222132020200 is a `hidden beast` number, since 1 + 122 + 2 + 1 + 320 + 20 + 200 = 666.
11222132020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 1877946825924 + 9344185194276 = 1370382^2 + 3056826^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1136460 + ... + 4871940.
Almost surely, 211222132020200 is an apocalyptic number.
11222132020200 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 11222132020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855125556150).
11222132020200 is an abundant number, since it is smaller than the sum of its proper divisors (26488119092100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11222132020200 is a wasteful number, since it uses less digits than its factorization.
11222132020200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3737172 (or 3737160 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 11222132020200 its reverse (202023122211), we get a palindrome (11424155142411).
It can be divided in two parts, 1122213 and 2020200, that added together give a palindrome (3142413).
The spelling of 11222132020200 in words is "eleven trillion, two hundred twenty-two billion, one hundred thirty-two million, twenty thousand, two hundred".
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