Base | Representation |
---|---|
bin | 10011001111001101111… |
… | …100101111011101111100 |
3 | 11200101100011110002020100 |
4 | 103033031330233131330 |
5 | 133124434103242340 |
6 | 2451153442521100 |
7 | 164340434252325 |
oct | 23171574573574 |
9 | 4611304402210 |
10 | 1322010212220 |
11 | 46a730333425 |
12 | 19426a666190 |
13 | 978850b3759 |
14 | 47db282744c |
15 | 245c63be830 |
hex | 133cdf2f77c |
1322010212220 has 144 divisors (see below), whose sum is σ = 4145660719200. Its totient is φ = 340787478528.
The previous prime is 1322010212219. The next prime is 1322010212231. The reversal of 1322010212220 is 222120102231.
1322010212220 is a `hidden beast` number, since 1 + 3 + 220 + 10 + 212 + 220 = 666.
It is a super-3 number, since 3×13220102122203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 1322010212193 and 1322010212202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129645 + ... + 1631204.
It is an arithmetic number, because the mean of its divisors is an integer number (28789310550).
Almost surely, 21322010212220 is an apocalyptic number.
1322010212220 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 1322010212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072830359600).
1322010212220 is an abundant number, since it is smaller than the sum of its proper divisors (2823650506980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1322010212220 is a wasteful number, since it uses less digits than its factorization.
1322010212220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1761004 (or 1760999 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 1322010212220 its reverse (222120102231), we get a palindrome (1544130314451).
The spelling of 1322010212220 in words is "one trillion, three hundred twenty-two billion, ten million, two hundred twelve thousand, two hundred twenty".
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