Base | Representation |
---|---|
bin | 10100101111001010… |
… | …11111011010110000 |
3 | 1001201212221012121011 |
4 | 22113211133122300 |
5 | 140300034402344 |
6 | 5040421240304 |
7 | 542613656200 |
oct | 122745373260 |
9 | 31655835534 |
10 | 11133122224 |
11 | 47a33a2564 |
12 | 21a8563094 |
13 | 10856972b3 |
14 | 778844400 |
15 | 4525d7d34 |
hex | 29795f6b0 |
11133122224 has 60 divisors (see below), whose sum is σ = 25322523600. Its totient is φ = 4727528064.
The previous prime is 11133122173. The next prime is 11133122263. The reversal of 11133122224 is 42222133111.
It is a zygodrome in base 14.
It is a junction number, because it is equal to n+sod(n) for n = 11133122195 and 11133122204.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20317 + ... + 150595.
It is an arithmetic number, because the mean of its divisors is an integer number (422042060).
Almost surely, 211133122224 is an apocalyptic number.
11133122224 is a gapful number since it is divisible by the number (14) 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 11133122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12661261800).
11133122224 is an abundant number, since it is smaller than the sum of its proper divisors (14189401376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11133122224 is a wasteful number, since it uses less digits than its factorization.
11133122224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130410 (or 130397 counting only the distinct ones).
The product of its digits is 576, while the sum is 22.
Adding to 11133122224 its reverse (42222133111), we get a palindrome (53355255335).
The spelling of 11133122224 in words is "eleven billion, one hundred thirty-three million, one hundred twenty-two thousand, two hundred twenty-four".
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