Base | Representation |
---|---|
bin | 101010011001… |
… | …001010101000 |
3 | 202220121100100 |
4 | 222121022220 |
5 | 10321110003 |
6 | 1034105400 |
7 | 163313535 |
oct | 52311250 |
9 | 22817310 |
10 | 11113128 |
11 | 6300504 |
12 | 387b260 |
13 | 23c1420 |
14 | 1693d8c |
15 | e97ba3 |
hex | a992a8 |
11113128 has 96 divisors (see below), whose sum is σ = 33546240. Its totient is φ = 3300480.
The previous prime is 11113111. The next prime is 11113129. The reversal of 11113128 is 82131111.
It is a happy number.
It is a super-2 number, since 2×111131282 = 247003227888768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 11113128.
It is not an unprimeable number, because it can be changed into a prime (11113129) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28825 + ... + 29207.
It is an arithmetic number, because the mean of its divisors is an integer number (349440).
Almost surely, 211113128 is an apocalyptic number.
11113128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11113128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773120).
11113128 is an abundant number, since it is smaller than the sum of its proper divisors (22433112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11113128 is a wasteful number, since it uses less digits than its factorization.
11113128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 439 (or 432 counting only the distinct ones).
The product of its digits is 48, while the sum is 18.
The square root of 11113128 is about 3333.6358529389. The cubic root of 11113128 is about 223.1578175960.
Adding to 11113128 its reverse (82131111), we get a palindrome (93244239).
The spelling of 11113128 in words is "eleven million, one hundred thirteen thousand, one hundred twenty-eight".
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