Base | Representation |
---|---|
bin | 10100100101110110… |
… | …111101011111100010 |
3 | 2010001212212102122110 |
4 | 110211312331133202 |
5 | 330240130013442 |
6 | 14053542020150 |
7 | 1411622623446 |
oct | 244566753742 |
9 | 63055772573 |
10 | 22110001122 |
11 | 9416579100 |
12 | 4350717656 |
13 | 2114887a01 |
14 | 10da616826 |
15 | 89610b69c |
hex | 525dbd7e2 |
22110001122 has 48 divisors (see below), whose sum is σ = 48819941856. Its totient is φ = 6670435200.
The previous prime is 22110001091. The next prime is 22110001127.
22110001122 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×221100011222 (a number of 21 digits) contains 22 as substring.
It is a zygodrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 22110001098 and 22110001107.
It is not an unprimeable number, because it can be changed into a prime (22110001127) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97722 + ... + 231882.
It is an arithmetic number, because the mean of its divisors is an integer number (1017082122).
Almost surely, 222110001122 is an apocalyptic number.
22110001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22110001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24409970928).
22110001122 is an abundant number, since it is smaller than the sum of its proper divisors (26709940734).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22110001122 is a wasteful number, since it uses less digits than its factorization.
22110001122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134415 (or 134404 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
It can be divided in two parts, 2211000 and 1122, that added together give a palindrome (2212122).
The spelling of 22110001122 in words is "twenty-two billion, one hundred ten million, one thousand, one hundred twenty-two".
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