| Base | Representation |
|---|---|
| bin | 10100100110000011… |
| … | …101000000010100000 |
| 3 | 2010002010010002211100 |
| 4 | 110212003220002200 |
| 5 | 330242002233440 |
| 6 | 14054141114400 |
| 7 | 1411663061652 |
| oct | 244603500240 |
| 9 | 63063102740 |
| 10 | 22113321120 |
| 11 | 9418436500 |
| 12 | 4351858a00 |
| 13 | 211547abc7 |
| 14 | 10dac3c6d2 |
| 15 | 896565230 |
| hex | 5260e80a0 |
22113321120 has 216 divisors, whose sum is σ = 82946167668. Its totient is φ = 5360762880.
The previous prime is 22113321101. The next prime is 22113321137. The reversal of 22113321120 is 2112331122.
22113321120 is a `hidden beast` number, since 2 + 211 + 332 + 1 + 120 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 21352223376 + 761097744 = 146124^2 + 27588^2 .
It is a super-3 number, since 3×221133211203 (a number of 32 digits) contains 333 as substring.
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 = 22113321093 and 22113321102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110784 + ... + 237696.
Almost surely, 222113321120 is an apocalyptic number.
22113321120 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 22113321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41473083834).
22113321120 is an abundant number, since it is smaller than the sum of its proper divisors (60832846548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22113321120 is a wasteful number, since it uses less digits than its factorization.
22113321120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126956 (or 126934 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 22113321120 its reverse (2112331122), we get a palindrome (24225652242).
The spelling of 22113321120 in words is "twenty-two billion, one hundred thirteen million, three hundred twenty-one thousand, one hundred twenty".
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