Base | Representation |
---|---|
bin | 11001000011000… |
… | …00111001110000 |
3 | 112122100210122002 |
4 | 30201200321300 |
5 | 412242041422 |
6 | 32503233132 |
7 | 5130631520 |
oct | 1441407160 |
9 | 478323562 |
10 | 210112112 |
11 | a866a381 |
12 | 5a4487a8 |
13 | 346b7bc2 |
14 | 1dc95680 |
15 | 136a5692 |
hex | c860e70 |
210112112 has 80 divisors (see below), whose sum is σ = 495896832. Its totient is φ = 84188160.
The previous prime is 210112109. The next prime is 210112117. The reversal of 210112112 is 211211012.
It is a junction number, because it is equal to n+sod(n) for n = 210112093 and 210112102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (210112117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401483 + ... + 402005.
Almost surely, 2210112112 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 210112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247948416).
210112112 is an abundant number, since it is smaller than the sum of its proper divisors (285784720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210112112 is a wasteful number, since it uses less digits than its factorization.
210112112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 766 (or 760 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 11.
The square root of 210112112 is about 14495.2444615467. The cubic root of 210112112 is about 594.4979518519.
Adding to 210112112 its reverse (211211012), we get a palindrome (421323124).
The spelling of 210112112 in words is "two hundred ten million, one hundred twelve thousand, one hundred twelve".
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