Base | Representation |
---|---|
bin | 1010000000010010100100… |
… | …00110110010011001100000 |
3 | 2212220012100202122110120201 |
4 | 11000021102012302121200 |
5 | 10340422402200013440 |
6 | 114442430301514544 |
7 | 4430314315350415 |
oct | 500112206623140 |
9 | 85805322573521 |
10 | 22000200001120 |
11 | 70122613a1700 |
12 | 2573952572a54 |
13 | c377c1102a63 |
14 | 560b5b4d010c |
15 | 2824206bd19a |
hex | 1402521b2660 |
22000200001120 has 144 divisors (see below), whose sum is σ = 57283247332080. Its totient is φ = 7978622192640.
The previous prime is 22000200001111. The next prime is 22000200001141. The reversal of 22000200001120 is 2110000200022.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 22000200001097 and 22000200001106.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5697991 + ... + 8744569.
It is an arithmetic number, because the mean of its divisors is an integer number (397800328695).
Almost surely, 222000200001120 is an apocalyptic number.
22000200001120 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 22000200001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641623666040).
22000200001120 is an abundant number, since it is smaller than the sum of its proper divisors (35283047330960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22000200001120 is a wasteful number, since it uses less digits than its factorization.
22000200001120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3046989 (or 3046970 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 22000200001120 its reverse (2110000200022), we get a palindrome (24110200201142).
The spelling of 22000200001120 in words is "twenty-two trillion, two hundred million, one thousand, one hundred twenty".
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