| Base | Representation |
|---|---|
| bin | 1100110100000011110… |
| … | …0110111110011010000 |
| 3 | 210001012110010122010200 |
| 4 | 3031000330313303100 |
| 5 | 12101313023443440 |
| 6 | 245043330455200 |
| 7 | 21622046614512 |
| oct | 3150074676320 |
| 9 | 701173118120 |
| 10 | 220133031120 |
| 11 | 853a33a24a2 |
| 12 | 367b6134500 |
| 13 | 179b2434142 |
| 14 | a923d15bb2 |
| 15 | 5ad5c1bc30 |
| hex | 3340f37cd0 |
220133031120 has 240 divisors, whose sum is σ = 781743965184. Its totient is φ = 55422720000.
The previous prime is 220133031113. The next prime is 220133031193. The reversal of 220133031120 is 21130331022.
220133031120 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 330 + 311 + 20 = 666.
220133031120 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 (240).
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 = 220133031093 and 220133031102.
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 794845 + ... + 1035395.
Almost surely, 2220133031120 is an apocalyptic number.
220133031120 is a gapful number since it is divisible by the number (20) 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 220133031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390871982592).
220133031120 is an abundant number, since it is smaller than the sum of its proper divisors (561610934064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220133031120 is a wasteful number, since it uses less digits than its factorization.
220133031120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 240642 (or 240633 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 220133031120 its reverse (21130331022), we get a palindrome (241263362142).
The spelling of 220133031120 in words is "two hundred twenty billion, one hundred thirty-three million, thirty-one thousand, one hundred twenty".
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