Base | Representation |
---|---|
bin | 1110100100011… |
… | …11011000010100 |
3 | 22111222112012110 |
4 | 13102033120110 |
5 | 222242101400 |
6 | 20043351020 |
7 | 3012604440 |
oct | 722173024 |
9 | 274875173 |
10 | 122222100 |
11 | 62a9a300 |
12 | 34b22470 |
13 | 1c424490 |
14 | 12337820 |
15 | aae3e50 |
hex | 748f614 |
122222100 has 432 divisors, whose sum is σ = 491329664. Its totient is φ = 22809600.
The previous prime is 122222071. The next prime is 122222131. The reversal of 122222100 is 1222221.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3303282 + ... + 3303318.
Almost surely, 2122222100 is an apocalyptic number.
122222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245664832).
122222100 is an abundant number, since it is smaller than the sum of its proper divisors (369107564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122222100 is a wasteful number, since it uses less digits than its factorization.
122222100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 122222100 is about 11055.4104401420. The cubic root of 122222100 is about 496.2683522284.
Adding to 122222100 its reverse (1222221), we get a palindrome (123444321).
Multiplying 122222100 by its reverse (1222221), we get a square (149382417284100 = 122222102).
122222100 divided by its reverse (1222221) gives a square (100 = 102).
It can be divided in two parts, 122 and 222100, that added together give a palindrome (222222).
The spelling of 122222100 in words is "one hundred twenty-two million, two hundred twenty-two thousand, one hundred".
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