Base | Representation |
---|---|
bin | 11001011110001000101110… |
… | …001000111111001001100100 |
3 | 112200122012122112101000022100 |
4 | 121132020232020333021210 |
5 | 104140332240421401040 |
6 | 1034130125234532100 |
7 | 32411221225460331 |
oct | 3136105610771144 |
9 | 480565575330270 |
10 | 112022111122020 |
11 | 3276a346355240 |
12 | 10692776437030 |
13 | 4a678416c3788 |
14 | 1d93c83219988 |
15 | ce3e4396db30 |
hex | 65e22e23f264 |
112022111122020 has 144 divisors (see below), whose sum is σ = 370756960846272. Its totient is φ = 27152068734720.
The previous prime is 112022111121979. The next prime is 112022111122043. The reversal of 112022111122020 is 20221111220211.
112022111122020 is a `hidden beast` number, since 1 + 1 + 202 + 211 + 11 + 220 + 20 = 666.
112022111122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 112022111121984 and 112022111122002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6188799 + ... + 16197081.
It is an arithmetic number, because the mean of its divisors is an integer number (2574701116988).
Almost surely, 2112022111122020 is an apocalyptic number.
112022111122020 is a gapful number since it is divisible by the number (10) 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 112022111122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185378480423136).
112022111122020 is an abundant number, since it is smaller than the sum of its proper divisors (258734849724252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112022111122020 is a wasteful number, since it uses less digits than its factorization.
112022111122020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10013962 (or 10013957 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 112022111122020 its reverse (20221111220211), we get a palindrome (132243222342231).
It can be divided in two parts, 1 and 12022111122020, that added together give a palindrome (12022111122021).
The spelling of 112022111122020 in words is "one hundred twelve trillion, twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, twenty".
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