Base | Representation |
---|---|
bin | 110000011110110010101010… |
… | …001001110001011111000010 |
3 | 1000221221211210111120122120000 |
4 | 300132302222021301133002 |
5 | 210421413042022200310 |
6 | 2033252533113500430 |
7 | 62624540106460152 |
oct | 6036625211613702 |
9 | 1027854714518500 |
10 | 213222211131330 |
11 | 61a37039545a25 |
12 | 1bab7a87111716 |
13 | 91c89caa6c20b |
14 | 3a9201d94a762 |
15 | 199b5ebad14c0 |
hex | c1ecaa2717c2 |
213222211131330 has 80 divisors (see below), whose sum is σ = 573336897158520. Its totient is φ = 56858655034368.
The previous prime is 213222211131317. The next prime is 213222211131331. The reversal of 213222211131330 is 33131112222312.
213222211131330 is a `hidden beast` number, since 2 + 1 + 322 + 2 + 2 + 1 + 1 + 1 + 3 + 1 + 330 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 201018150979569 + 12204060151761 = 14178087^2 + 3493431^2 .
It is a super-2 number, since 2×2132222111313302 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 213222211131294 and 213222211131303.
It is not an unprimeable number, because it can be changed into a prime (213222211131331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78050956 + ... + 80736584.
Almost surely, 2213222211131330 is an apocalyptic number.
213222211131330 is an abundant number, since it is smaller than the sum of its proper divisors (360114686027190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213222211131330 is a wasteful number, since it uses less digits than its factorization.
213222211131330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2783665 (or 2783656 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
Adding to 213222211131330 its reverse (33131112222312), we get a palindrome (246353323353642).
The spelling of 213222211131330 in words is "two hundred thirteen trillion, two hundred twenty-two billion, two hundred eleven million, one hundred thirty-one thousand, three hundred thirty".
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