Base | Representation |
---|---|
bin | 1100001101011… |
… | …01011010000000 |
3 | 21010201120202202 |
4 | 12012231122000 |
5 | 202210002034 |
6 | 14055132332 |
7 | 2352400556 |
oct | 606553200 |
9 | 233646682 |
10 | 102422144 |
11 | 528a6300 |
12 | 2a3740a8 |
13 | 182b1126 |
14 | d861bd6 |
15 | 8ed247e |
hex | 61ad680 |
102422144 has 96 divisors (see below), whose sum is σ = 238083300. Its totient is φ = 43704320.
The previous prime is 102422137. The next prime is 102422149. The reversal of 102422144 is 441224201.
It can be written as a sum of positive squares in 2 ways, for example, as 102414400 + 7744 = 10120^2 + 88^2 .
It is not an unprimeable number, because it can be changed into a prime (102422149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263102 + ... + 263490.
Almost surely, 2102422144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119041650).
102422144 is an abundant number, since it is smaller than the sum of its proper divisors (135661156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102422144 is a wasteful number, since it uses less digits than its factorization.
102422144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 442 (or 419 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 102422144 is about 10120.3826014632. The cubic root of 102422144 is about 467.8765593547.
Adding to 102422144 its reverse (441224201), we get a palindrome (543646345).
The spelling of 102422144 in words is "one hundred two million, four hundred twenty-two thousand, one hundred forty-four".
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