Base | Representation |
---|---|
bin | 111011101010100… |
… | …001000010011000 |
3 | 2120202120010101021 |
4 | 323222201002120 |
5 | 4022224013422 |
6 | 243154532224 |
7 | 33543240406 |
oct | 7352410230 |
9 | 2522503337 |
10 | 1001001112 |
11 | 474047a51 |
12 | 23b297074 |
13 | 12c4caa67 |
14 | 96d2c476 |
15 | 5cd2cdc7 |
hex | 3baa1098 |
1001001112 has 32 divisors (see below), whose sum is σ = 1943121600. Its totient is φ = 483128064.
The previous prime is 1001001061. The next prime is 1001001119. The reversal of 1001001112 is 2111001001.
It is a junction number, because it is equal to n+sod(n) for n = 1001001095 and 1001001104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001001119) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9214 + ... + 45682.
It is an arithmetic number, because the mean of its divisors is an integer number (60722550).
Almost surely, 21001001112 is an apocalyptic number.
It is an amenable number.
1001001112 is a deficient number, since it is larger than the sum of its proper divisors (942120488).
1001001112 is a wasteful number, since it uses less digits than its factorization.
1001001112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36595 (or 36591 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 7.
The square root of 1001001112 is about 31638.6016125871. The cubic root of 1001001112 is about 1000.3335927035. Note that the first 3 decimals are identical.
Adding to 1001001112 its reverse (2111001001), we get a palindrome (3112002113).
The spelling of 1001001112 in words is "one billion, one million, one thousand, one hundred twelve".
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