Base | Representation |
---|---|
bin | 101111100101111000… |
… | …1111001011111110110 |
3 | 100202210201011120201100 |
4 | 1133023301321133312 |
5 | 3133302443300342 |
6 | 114541303110530 |
7 | 10245455020653 |
oct | 1371361713766 |
9 | 322721146640 |
10 | 102203103222 |
11 | 3a386a95170 |
12 | 17983742446 |
13 | 983a08970c |
14 | 4d378a8c2a |
15 | 29d286ae4c |
hex | 17cbc797f6 |
102203103222 has 96 divisors (see below), whose sum is σ = 247389158016. Its totient is φ = 30225888000.
The previous prime is 102203103181. The next prime is 102203103227. The reversal of 102203103222 is 222301302201.
102203103222 is a `hidden beast` number, since 10 + 2 + 20 + 310 + 322 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 102203103195 and 102203103204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102203103227) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12349678 + ... + 12357950.
It is an arithmetic number, because the mean of its divisors is an integer number (2576970396).
Almost surely, 2102203103222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102203103222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123694579008).
102203103222 is an abundant number, since it is smaller than the sum of its proper divisors (145186054794).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102203103222 is a wasteful number, since it uses less digits than its factorization.
102203103222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9786 (or 9783 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 102203103222 its reverse (222301302201), we get a palindrome (324504405423).
The spelling of 102203103222 in words is "one hundred two billion, two hundred three million, one hundred three thousand, two hundred twenty-two".
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