Base | Representation |
---|---|
bin | 11110101111001010000… |
… | …111111011110110100100 |
3 | 21110221000020121112110000 |
4 | 132233022013323312210 |
5 | 234101311311121012 |
6 | 4254201313301300 |
7 | 305413531636305 |
oct | 36571207736644 |
9 | 7427006545400 |
10 | 2112220020132 |
11 | 744873154982 |
12 | 2a1442264830 |
13 | 124248982251 |
14 | 743368427ac |
15 | 39e24e48ddc |
hex | 1ebca1fbda4 |
2112220020132 has 120 divisors (see below), whose sum is σ = 5716361158200. Its totient is φ = 679295683584.
The previous prime is 2112220020011. The next prime is 2112220020133. The reversal of 2112220020132 is 2310200222112.
2112220020132 is a `hidden beast` number, since 211 + 2 + 220 + 0 + 201 + 32 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 983917189476 + 1128302830656 = 991926^2 + 1062216^2 .
It is a super-2 number, since 2×21122200201322 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2112220020133) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12818844 + ... + 12982572.
It is an arithmetic number, because the mean of its divisors is an integer number (47636342985).
Almost surely, 22112220020132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2112220020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858180579100).
2112220020132 is an abundant number, since it is smaller than the sum of its proper divisors (3604141138068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112220020132 is a wasteful number, since it uses less digits than its factorization.
2112220020132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 165147 (or 165136 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 2112220020132 its reverse (2310200222112), we get a palindrome (4422420242244).
The spelling of 2112220020132 in words is "two trillion, one hundred twelve billion, two hundred twenty million, twenty thousand, one hundred thirty-two".
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