Base | Representation |
---|---|
bin | 1110101100000… |
… | …11110001010000 |
3 | 22120212101100021 |
4 | 13112003301100 |
5 | 223021114440 |
6 | 20121033224 |
7 | 3024244036 |
oct | 726036120 |
9 | 276771307 |
10 | 123223120 |
11 | 63613399 |
12 | 35325814 |
13 | 1c6b4cb7 |
14 | 12518556 |
15 | ac4084a |
hex | 7583c50 |
123223120 has 20 divisors (see below), whose sum is σ = 286493940. Its totient is φ = 49289216.
The previous prime is 123223103. The next prime is 123223181. The reversal of 123223120 is 21322321.
It can be written as a sum of positive squares in 2 ways, for example, as 16224784 + 106998336 = 4028^2 + 10344^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 123223094 and 123223103.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 770065 + ... + 770224.
It is an arithmetic number, because the mean of its divisors is an integer number (14324697).
Almost surely, 2123223120 is an apocalyptic number.
123223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
123223120 is an abundant number, since it is smaller than the sum of its proper divisors (163270820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123223120 is a wasteful number, since it uses less digits than its factorization.
123223120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1540302 (or 1540296 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 123223120 is about 11100.5909752589. The cubic root of 123223120 is about 497.6195111989.
Adding to 123223120 its reverse (21322321), we get a palindrome (144545441).
The spelling of 123223120 in words is "one hundred twenty-three million, two hundred twenty-three thousand, one hundred twenty".
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