Base | Representation |
---|---|
bin | 111111001111100… |
… | …1011000101111000 |
3 | 12110220002220110111 |
4 | 1332133023011320 |
5 | 13321224213422 |
6 | 550323554104 |
7 | 103405363465 |
oct | 17637130570 |
9 | 5426086414 |
10 | 2122101112 |
11 | 999963a7a |
12 | 4b282b934 |
13 | 27a858741 |
14 | 161ba066c |
15 | c6480a77 |
hex | 7e7cb178 |
2122101112 has 16 divisors (see below), whose sum is σ = 3982407840. Its totient is φ = 1060125696.
The previous prime is 2122101103. The next prime is 2122101119. The reversal of 2122101112 is 2111012212.
It is a junction number, because it is equal to n+sod(n) for n = 2122101092 and 2122101101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2122101119) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 105808 + ... + 124255.
It is an arithmetic number, because the mean of its divisors is an integer number (248900490).
Almost surely, 22122101112 is an apocalyptic number.
It is an amenable number.
2122101112 is a deficient number, since it is larger than the sum of its proper divisors (1860306728).
2122101112 is a wasteful number, since it uses less digits than its factorization.
2122101112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 231222 (or 231218 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 13.
The square root of 2122101112 is about 46066.2687006447. The cubic root of 2122101112 is about 1285.0559130238.
Adding to 2122101112 its reverse (2111012212), we get a palindrome (4233113324).
Subtracting from 2122101112 its reverse (2111012212), we obtain a square (11088900 = 33302).
The spelling of 2122101112 in words is "two billion, one hundred twenty-two million, one hundred one thousand, one hundred twelve".
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