Base | Representation |
---|---|
bin | 111011101111001… |
… | …000101101101000 |
3 | 2120211211122200101 |
4 | 323233020231220 |
5 | 4023031242300 |
6 | 243240515144 |
7 | 33556443313 |
oct | 7357105550 |
9 | 2524748611 |
10 | 1002212200 |
11 | 4747a4950 |
12 | 23b77bab4 |
13 | 12c833092 |
14 | 9716597a |
15 | 5cebbb6a |
hex | 3bbc8b68 |
1002212200 has 144 divisors (see below), whose sum is σ = 2615100480. Its totient is φ = 354240000.
The previous prime is 1002212177. The next prime is 1002212201. The reversal of 1002212200 is 22122001.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1002212201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3698065 + ... + 3698335.
It is an arithmetic number, because the mean of its divisors is an integer number (18160420).
Almost surely, 21002212200 is an apocalyptic number.
1002212200 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 1002212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307550240).
1002212200 is an abundant number, since it is smaller than the sum of its proper divisors (1612888280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002212200 is a wasteful number, since it uses less digits than its factorization.
1002212200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 380 (or 330 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 1002212200 is about 31657.7352316934. The cubic root of 1002212200 is about 1000.7368569085.
Adding to 1002212200 its reverse (22122001), we get a palindrome (1024334201).
It can be divided in two parts, 10022 and 12200, that added together give a palindrome (22222).
The spelling of 1002212200 in words is "one billion, two million, two hundred twelve thousand, two hundred".
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