Base | Representation |
---|---|
bin | 100110111010… |
… | …010011101100 |
3 | 201012020011220 |
4 | 212322103230 |
5 | 10102402200 |
6 | 1002343340 |
7 | 152462325 |
oct | 46722354 |
9 | 21166156 |
10 | 10200300 |
11 | 5837700 |
12 | 34bab50 |
13 | 2161aa6 |
14 | 14d744c |
15 | d674a0 |
hex | 9ba4ec |
10200300 has 108 divisors (see below), whose sum is σ = 32555208. Its totient is φ = 2464000.
The previous prime is 10200287. The next prime is 10200301. The reversal of 10200300 is 300201.
It is a super-2 number, since 2×102003002 = 208092240180000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (10200301) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 36160 + ... + 36440.
Almost surely, 210200300 is an apocalyptic number.
10200300 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 10200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277604).
10200300 is an abundant number, since it is smaller than the sum of its proper divisors (22354908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10200300 is a wasteful number, since it uses less digits than its factorization.
10200300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 320 (or 302 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 6.
The square root of 10200300 is about 3193.7908510108. The cubic root of 10200300 is about 216.8724146835.
Adding to 10200300 its reverse (300201), we get a palindrome (10500501).
Subtracting from 10200300 its reverse (300201), we obtain a palindrome (9900099).
The spelling of 10200300 in words is "ten million, two hundred thousand, three hundred".
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