Base | Representation |
---|---|
bin | 111011111001110… |
… | …0101010111101000 |
3 | 12012002012010220000 |
4 | 1313303211113220 |
5 | 13104030323422 |
6 | 531241303000 |
7 | 100544545464 |
oct | 16763452750 |
9 | 5162163800 |
10 | 2010011112 |
11 | 94166510a |
12 | 481194a60 |
13 | 260570cb5 |
14 | 150d434a4 |
15 | bb6ddcac |
hex | 77ce55e8 |
2010011112 has 80 divisors (see below), whose sum is σ = 5824080900. Its totient is φ = 646894080.
The previous prime is 2010011111. The next prime is 2010011131. The reversal of 2010011112 is 2111100102.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 1971892836 + 38118276 = 44406^2 + 6174^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2010011094 and 2010011103.
It is not an unprimeable number, because it can be changed into a prime (2010011111) 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 19 ways as a sum of consecutive naturals, for example, 34689 + ... + 72272.
Almost surely, 22010011112 is an apocalyptic number.
It is an amenable number.
2010011112 is an abundant number, since it is smaller than the sum of its proper divisors (3814069788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2010011112 is a wasteful number, since it uses less digits than its factorization.
2010011112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107008 (or 106995 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 2010011112 is about 44833.1474692554. The cubic root of 2010011112 is about 1262.0197538438.
Adding to 2010011112 its reverse (2111100102), we get a palindrome (4121111214).
The spelling of 2010011112 in words is "two billion, ten million, eleven thousand, one hundred twelve".
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