Base | Representation |
---|---|
bin | 1001100110101111001011… |
… | …11101001000001100000100 |
3 | 2202210021010021201000012202 |
4 | 10303113211331020030010 |
5 | 10232031242310414340 |
6 | 112531224344134032 |
7 | 4310013052240364 |
oct | 463274575101404 |
9 | 82707107630182 |
10 | 21122212201220 |
11 | 6803975150619 |
12 | 2451762167318 |
13 | ba2a7bb7aa30 |
14 | 53046b7429a4 |
15 | 2696858cec15 |
hex | 1335e5f48304 |
21122212201220 has 96 divisors (see below), whose sum is σ = 51146918575200. Its totient is φ = 7257733300224.
The previous prime is 21122212201183. The next prime is 21122212201273. The reversal of 21122212201220 is 2210221222112.
21122212201220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 16 ways, for example, as 6539773060804 + 14582439140416 = 2557298^2 + 3818696^2 .
It is a super-2 number, since 2×211222122012202 (a number of 27 digits) contains 22 as substring.
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 = 21122212201192 and 21122212201201.
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, 26453705 + ... + 27240464.
It is an arithmetic number, because the mean of its divisors is an integer number (532780401825).
Almost surely, 221122212201220 is an apocalyptic number.
21122212201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
21122212201220 is an abundant number, since it is smaller than the sum of its proper divisors (30024706373980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21122212201220 is a wasteful number, since it uses less digits than its factorization.
21122212201220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53694297 (or 53694295 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
Adding to 21122212201220 its reverse (2210221222112), we get a palindrome (23332433423332).
The spelling of 21122212201220 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred one thousand, two hundred twenty".
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