Base | Representation |
---|---|
bin | 1110101100000… |
… | …00110101100000 |
3 | 22120211202212020 |
4 | 13112000311200 |
5 | 223020223404 |
6 | 20120501440 |
7 | 3024164022 |
oct | 726006540 |
9 | 276752766 |
10 | 123211104 |
11 | 63605365 |
12 | 3531a880 |
13 | 1c6ac6a3 |
14 | 12514012 |
15 | ac3bed9 |
hex | 7580d60 |
123211104 has 72 divisors (see below), whose sum is σ = 343650888. Its totient is φ = 38645760.
The previous prime is 123211063. The next prime is 123211117. The reversal of 123211104 is 401112321.
It is a super-2 number, since 2×1232111042 = 30361952297797632, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 25524 + ... + 29964.
It is an arithmetic number, because the mean of its divisors is an integer number (4772929).
Almost surely, 2123211104 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 123211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171825444).
123211104 is an abundant number, since it is smaller than the sum of its proper divisors (220439784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123211104 is a wasteful number, since it uses less digits than its factorization.
123211104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4488 (or 4463 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 123211104 is about 11100.0497296183. The cubic root of 123211104 is about 497.6033356889.
Adding to 123211104 its reverse (401112321), we get a palindrome (524323425).
The spelling of 123211104 in words is "one hundred twenty-three million, two hundred eleven thousand, one hundred four".
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