Base | Representation |
---|---|
bin | 1110100101111… |
… | …01110001000100 |
3 | 22112100011211111 |
4 | 13102331301010 |
5 | 222314141400 |
6 | 20051414404 |
7 | 3014325406 |
oct | 722756104 |
9 | 275304744 |
10 | 122412100 |
11 | 6310a028 |
12 | 34bb4404 |
13 | 1c48cac5 |
14 | 12386b76 |
15 | ab303ba |
hex | 74bdc44 |
122412100 has 18 divisors (see below), whose sum is σ = 265634474. Its totient is φ = 48964800.
The previous prime is 122412089. The next prime is 122412127. The reversal of 122412100 is 1214221.
It is a happy number.
122412100 is nontrivially palindromic in base 15.
It can be written as a sum of positive squares in 3 ways, for example, as 4 + 122412096 = 2^2 + 11064^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611961 + ... + 612160.
Almost surely, 2122412100 is an apocalyptic number.
122412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122412100 is an abundant number, since it is smaller than the sum of its proper divisors (143222374).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122412100 is a wasteful number, since it uses less digits than its factorization.
122412100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1224135 (or 1224128 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
The square root of 122412100 is about 11064.0001807664. Note that the first 3 decimals coincide. The cubic root of 122412100 is about 496.5253765831.
Adding to 122412100 its reverse (1214221), we get a palindrome (123626321).
It can be divided in two parts, 12241 and 2100, that added together give a palindrome (14341).
The spelling of 122412100 in words is "one hundred twenty-two million, four hundred twelve thousand, one hundred".
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