Base | Representation |
---|---|
bin | 111011100110101… |
… | …100111100010100 |
3 | 2120200200022220012 |
4 | 323212230330110 |
5 | 4022000020200 |
6 | 243121255352 |
7 | 33531604454 |
oct | 7346547424 |
9 | 2520608805 |
10 | 1000001300 |
11 | 473524861 |
12 | 23aa94558 |
13 | 12c23a95c |
14 | 96b4bd64 |
15 | 5cbd1a35 |
hex | 3b9acf14 |
1000001300 has 36 divisors (see below), whose sum is σ = 2175248796. Its totient is φ = 399033600.
The previous prime is 1000001279. The next prime is 1000001311. The reversal of 1000001300 is 31000001.
It can be written as a sum of positive squares in 6 ways, for example, as 144672784 + 855328516 = 12028^2 + 29246^2 .
It is a Harshad number since it is a multiple of its sum of digits (5).
1000001300 is a modest number, since divided by 1300 gives 1000 as remainder.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 30224 + ... + 53976.
Almost surely, 21000001300 is an apocalyptic number.
1000001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1000001300 is an abundant number, since it is smaller than the sum of its proper divisors (1175247496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000001300 is a wasteful number, since it uses less digits than its factorization.
1000001300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24188 (or 24181 counting only the distinct ones).
The product of its (nonzero) digits is 3, while the sum is 5.
The square root of 1000001300 is about 31622.7971564819. The cubic root of 1000001300 is about 1000.0004333331. Note that the first 3 decimals are identical.
Adding to 1000001300 its reverse (31000001), we get a palindrome (1031001301).
The spelling of 1000001300 in words is "one billion, one thousand, three hundred".
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