Base | Representation |
---|---|
bin | 1000001111101001… |
… | …1000100001110000 |
3 | 12201020101011001120 |
4 | 2003322120201300 |
5 | 14013024320422 |
6 | 1003334502240 |
7 | 105562132140 |
oct | 20372304160 |
9 | 5636334046 |
10 | 2213120112 |
11 | a36280995 |
12 | 519204980 |
13 | 293676438 |
14 | 16dcd4920 |
15 | ce45e45c |
hex | 83e98870 |
2213120112 has 160 divisors (see below), whose sum is σ = 6963697152. Its totient is φ = 591224832.
The previous prime is 2213120089. The next prime is 2213120137. The reversal of 2213120112 is 2110213122.
It is a junction number, because it is equal to n+sod(n) for n = 2213120091 and 2213120100.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 929868 + ... + 932244.
Almost surely, 22213120112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2213120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481848576).
2213120112 is an abundant number, since it is smaller than the sum of its proper divisors (4750577040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2213120112 is a wasteful number, since it uses less digits than its factorization.
2213120112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 2213120112 is about 47043.8105599451. The cubic root of 2213120112 is about 1303.1717644461.
Adding to 2213120112 its reverse (2110213122), we get a palindrome (4323333234).
The spelling of 2213120112 in words is "two billion, two hundred thirteen million, one hundred twenty thousand, one hundred twelve".
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