Base | Representation |
---|---|
bin | 100000011111111100011… |
… | …000001000111100001010 |
3 | 21220111121001202100111100 |
4 | 200133330120020330022 |
5 | 243042320441310010 |
6 | 4425550221442230 |
7 | 320231543410341 |
oct | 40377430107412 |
9 | 7814531670440 |
10 | 2233322213130 |
11 | 7911681919a8 |
12 | 3009bb110376 |
13 | 1327a8307508 |
14 | 7a1442d8b58 |
15 | 3d161a6a2c0 |
hex | 207fc608f0a |
2233322213130 has 48 divisors (see below), whose sum is σ = 6148204685064. Its totient is φ = 560520084480.
The previous prime is 2233322213033. The next prime is 2233322213203. The reversal of 2233322213130 is 313122233322.
2233322213130 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 322 + 21 + 313 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2198912334129 + 34409879001 = 1482873^2 + 185499^2 .
It is a super-3 number, since 3×22333222131303 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 2233322213094 and 2233322213103.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729842331 + ... + 729845390.
Almost surely, 22233322213130 is an apocalyptic number.
2233322213130 is an abundant number, since it is smaller than the sum of its proper divisors (3914882471934).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2233322213130 is a wasteful number, since it uses less digits than its factorization.
2233322213130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1459687751 (or 1459687748 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 2233322213130 its reverse (313122233322), we get a palindrome (2546444446452).
The spelling of 2233322213130 in words is "two trillion, two hundred thirty-three billion, three hundred twenty-two million, two hundred thirteen thousand, one hundred thirty".
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