Base | Representation |
---|---|
bin | 1110010100011… |
… | …11000110101110 |
3 | 22101000220220110 |
4 | 13022033012232 |
5 | 221222430242 |
6 | 15530400450 |
7 | 2656015140 |
oct | 712170656 |
9 | 271026813 |
10 | 120123822 |
11 | 61896895 |
12 | 34290126 |
13 | 1bb6b3b0 |
14 | 11d4cc90 |
15 | a82c39c |
hex | 728f1ae |
120123822 has 128 divisors (see below), whose sum is σ = 313786368. Its totient is φ = 29808000.
The previous prime is 120123803. The next prime is 120123827. The reversal of 120123822 is 228321021.
It is a happy number.
It is a super-3 number, since 3×1201238223 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120123827) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 795447 + ... + 795597.
It is an arithmetic number, because the mean of its divisors is an integer number (2451456).
Almost surely, 2120123822 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120123822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156893184).
120123822 is an abundant number, since it is smaller than the sum of its proper divisors (193662546).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120123822 is a wasteful number, since it uses less digits than its factorization.
120123822 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 254.
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 120123822 is about 10960.1013681444. The cubic root of 120123822 is about 493.4120072767.
Adding to 120123822 its reverse (228321021), we get a palindrome (348444843).
The spelling of 120123822 in words is "one hundred twenty million, one hundred twenty-three thousand, eight hundred twenty-two".
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