Base | Representation |
---|---|
bin | 1110101010101… |
… | …11100101000010 |
3 | 22120112012001100 |
4 | 13111113211002 |
5 | 222444321424 |
6 | 20113115230 |
7 | 3022561236 |
oct | 725274502 |
9 | 276465040 |
10 | 123042114 |
11 | 634aa3a8 |
12 | 35258b16 |
13 | 1c6507b0 |
14 | 124ac5c6 |
15 | ac06dc9 |
hex | 7557942 |
123042114 has 48 divisors (see below), whose sum is σ = 289107000. Its totient is φ = 37594368.
The previous prime is 123042109. The next prime is 123042121. The reversal of 123042114 is 411240321.
123042114 is a `hidden beast` number, since 1 + 230 + 421 + 14 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 31169889 + 91872225 = 5583^2 + 9585^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33102 + ... + 36630.
Almost surely, 2123042114 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123042114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144553500).
123042114 is an abundant number, since it is smaller than the sum of its proper divisors (166064886).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123042114 is a wasteful number, since it uses less digits than its factorization.
123042114 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3699 (or 3696 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 123042114 is about 11092.4349896675. The cubic root of 123042114 is about 497.3757359062.
Adding to 123042114 its reverse (411240321), we get a palindrome (534282435).
The spelling of 123042114 in words is "one hundred twenty-three million, forty-two thousand, one hundred fourteen".
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