| Base | Representation |
|---|---|
| bin | 11000011010111101… |
| … | …11101000101100000 |
| 3 | 1020211201212220202100 |
| 4 | 30031132331011200 |
| 5 | 203322421321344 |
| 6 | 10005000450400 |
| 7 | 642622453206 |
| oct | 141536750540 |
| 9 | 36751786670 |
| 10 | 13111120224 |
| 11 | 5618981754 |
| 12 | 265aa79a00 |
| 13 | 130c409c07 |
| 14 | 8c5413076 |
| 15 | 51b0a1569 |
| hex | 30d7bd160 |
13111120224 has 144 divisors (see below), whose sum is σ = 37616827248. Its totient is φ = 4331667456.
The previous prime is 13111120207. The next prime is 13111120229. The reversal of 13111120224 is 42202111131.
13111120224 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 13111120197 and 13111120206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13111120229) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 22722624 + ... + 22723200.
It is an arithmetic number, because the mean of its divisors is an integer number (261227967).
Almost surely, 213111120224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13111120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808413624).
13111120224 is an abundant number, since it is smaller than the sum of its proper divisors (24505707024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13111120224 is a wasteful number, since it uses less digits than its factorization.
13111120224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 13111120224 its reverse (42202111131), we get a palindrome (55313231355).
The spelling of 13111120224 in words is "thirteen billion, one hundred eleven million, one hundred twenty thousand, two hundred twenty-four".
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