| Base | Representation |
|---|---|
| bin | 10100100101010101… |
| … | …000011000101010000 |
| 3 | 2010001021010202212010 |
| 4 | 110211111003011100 |
| 5 | 330230341023440 |
| 6 | 14053023302520 |
| 7 | 1411454226204 |
| oct | 244525030520 |
| 9 | 63037122763 |
| 10 | 22101111120 |
| 11 | 94115569a0 |
| 12 | 434974aa40 |
| 13 | 2112a9445a |
| 14 | 10d9380b04 |
| 15 | 895452580 |
| hex | 525543150 |
22101111120 has 320 divisors, whose sum is σ = 81872259840. Its totient is φ = 4868505600.
The previous prime is 22101111089. The next prime is 22101111127. The reversal of 22101111120 is 2111110122.
It is a super-2 number, since 2×221011111202 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 22101111096 and 22101111105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22101111127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1293030 + ... + 1310010.
It is an arithmetic number, because the mean of its divisors is an integer number (255850812).
Almost surely, 222101111120 is an apocalyptic number.
22101111120 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 22101111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40936129920).
22101111120 is an abundant number, since it is smaller than the sum of its proper divisors (59771148720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22101111120 is a wasteful number, since it uses less digits than its factorization.
22101111120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17054 (or 17048 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 22101111120 its reverse (2111110122), we get a palindrome (24212221242).
The spelling of 22101111120 in words is "twenty-two billion, one hundred one million, one hundred eleven thousand, one hundred twenty".
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