Base | Representation |
---|---|
bin | 10100101100100011… |
… | …11100101101010100 |
3 | 1001200100201120021110 |
4 | 22112101330231110 |
5 | 140223433101400 |
6 | 5034320015020 |
7 | 542226554346 |
oct | 122621745524 |
9 | 31610646243 |
10 | 11111222100 |
11 | 4791aa4690 |
12 | 21a1161470 |
13 | 1080c9a044 |
14 | 775983296 |
15 | 45070de50 |
hex | 29647cb54 |
11111222100 has 576 divisors, whose sum is σ = 39241988352. Its totient is φ = 2396160000.
The previous prime is 11111222071. The next prime is 11111222119. The reversal of 11111222100 is 122211111.
11111222100 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 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 191 ways as a sum of consecutive naturals, for example, 110012050 + ... + 110012150.
It is an arithmetic number, because the mean of its divisors is an integer number (68128452).
Almost surely, 211111222100 is an apocalyptic number.
11111222100 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 11111222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19620994176).
11111222100 is an abundant number, since it is smaller than the sum of its proper divisors (28130766252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11111222100 is a wasteful number, since it uses less digits than its factorization.
11111222100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 236 (or 229 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 11111222100 its reverse (122211111), we get a palindrome (11233433211).
It can be divided in two parts, 111 and 11222100, that added together give a palindrome (11222211).
The spelling of 11111222100 in words is "eleven billion, one hundred eleven million, two hundred twenty-two thousand, one hundred".
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