Base | Representation |
---|---|
bin | 10101000101110100… |
… | …01100111110110000 |
3 | 1002020010102010121222 |
4 | 22202322030332300 |
5 | 141142203213404 |
6 | 5111325204212 |
7 | 550411525400 |
oct | 124272147660 |
9 | 32203363558 |
10 | 11323101104 |
11 | 48906604a7 |
12 | 2240100668 |
13 | 10b5b53233 |
14 | 795b78800 |
15 | 464112dbe |
hex | 2a2e8cfb0 |
11323101104 has 60 divisors (see below), whose sum is σ = 25542465624. Its totient is φ = 4848544512.
The previous prime is 11323101071. The next prime is 11323101109. The reversal of 11323101104 is 40110132311.
11323101104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×113231011043 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (11323101109) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000244 + ... + 1011500.
Almost surely, 211323101104 is an apocalyptic number.
11323101104 is a gapful number since it is divisible by the number (14) 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 11323101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771232812).
11323101104 is an abundant number, since it is smaller than the sum of its proper divisors (14219364520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11323101104 is a wasteful number, since it uses less digits than its factorization.
11323101104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12562 (or 12549 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 17.
Adding to 11323101104 its reverse (40110132311), we get a palindrome (51433233415).
The spelling of 11323101104 in words is "eleven billion, three hundred twenty-three million, one hundred one thousand, one hundred four".
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