Base | Representation |
---|---|
bin | 1100001100100… |
… | …00100101110000 |
3 | 21010111120212012 |
4 | 12012100211300 |
5 | 202142212422 |
6 | 14052422052 |
7 | 2351366501 |
oct | 606204560 |
9 | 233446765 |
10 | 102304112 |
11 | 52825659 |
12 | 2a317928 |
13 | 1826c4a1 |
14 | d830ba8 |
15 | 8eac4e2 |
hex | 6190970 |
102304112 has 80 divisors (see below), whose sum is σ = 216280800. Its totient is φ = 46771200.
The previous prime is 102304099. The next prime is 102304117. The reversal of 102304112 is 211403201.
It is a super-2 number, since 2×1023041122 = 20932262664217088, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102304117) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012862 + ... + 1012962.
It is an arithmetic number, because the mean of its divisors is an integer number (2703510).
Almost surely, 2102304112 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 102304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).
102304112 is an abundant number, since it is smaller than the sum of its proper divisors (113976688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102304112 is a wasteful number, since it uses less digits than its factorization.
102304112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 234 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 102304112 is about 10114.5495203692. The cubic root of 102304112 is about 467.6967621899.
Adding to 102304112 its reverse (211403201), we get a palindrome (313707313).
The spelling of 102304112 in words is "one hundred two million, three hundred four thousand, one hundred twelve".
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