Base | Representation |
---|---|
bin | 110010100000001000111111… |
… | …111110111111000011000000 |
3 | 1002010102121100100000112220102 |
4 | 302200020333332333003000 |
5 | 213103031323112033440 |
6 | 2104220220153501532 |
7 | 64532663640216101 |
oct | 6240107776770300 |
9 | 1063377310015812 |
10 | 222111012221120 |
11 | 64853829a81a60 |
12 | 20ab27287118a8 |
13 | 96c1c94c2c889 |
14 | 3cbc3321243a8 |
15 | 1aa293cce2b15 |
hex | ca023ffbf0c0 |
222111012221120 has 224 divisors, whose sum is σ = 578092289112576. Its totient is φ = 80612537753600.
The previous prime is 222111012221089. The next prime is 222111012221141. The reversal of 222111012221120 is 21122210111222.
222111012221120 is digitally balanced in base 2, 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 (20).
It is a junction number, because it is equal to n+sod(n) for n = 222111012221092 and 222111012221101.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13040032124 + ... + 13040049156.
It is an arithmetic number, because the mean of its divisors is an integer number (2580769147824).
Almost surely, 2222111012221120 is an apocalyptic number.
222111012221120 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 222111012221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289046144556288).
222111012221120 is an abundant number, since it is smaller than the sum of its proper divisors (355981276891456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222111012221120 is a wasteful number, since it uses less digits than its factorization.
222111012221120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23959 (or 23949 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 20.
Adding to 222111012221120 its reverse (21122210111222), we get a palindrome (243233222332342).
The spelling of 222111012221120 in words is "two hundred twenty-two trillion, one hundred eleven billion, twelve million, two hundred twenty-one thousand, one hundred twenty".
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