Base | Representation |
---|---|
bin | 10010101000000101… |
… | …11110010000001010 |
3 | 221210220202122010202 |
4 | 21110002332100022 |
5 | 130440000000020 |
6 | 4332142412202 |
7 | 502544411660 |
oct | 112402762012 |
9 | 27726678122 |
10 | 10000000010 |
11 | 4271815020 |
12 | 1b30b91062 |
13 | c349ba490 |
14 | 6ac162c30 |
15 | 3d7dace75 |
hex | 2540be40a |
10000000010 has 128 divisors (see below), whose sum is σ = 25440307200. Its totient is φ = 2725643520.
The previous prime is 9999999967. The next prime is 10000000019. The reversal of 10000000010 is 1000000001.
It is a sliding number, since 10000000010 = 10 + 10000000000 and 1/10 + 1/10000000000 = 0.10000000010.
It is a Harshad number since it is a multiple of its sum of digits (2).
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 (10000000019) 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 63 ways as a sum of consecutive naturals, for example, 163901 + ... + 216479.
It is an arithmetic number, because the mean of its divisors is an integer number (198752400).
Almost surely, 210000000010 is an apocalyptic number.
10000000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
10000000010 is an abundant number, since it is smaller than the sum of its proper divisors (15440307190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000000010 is a wasteful number, since it uses less digits than its factorization.
10000000010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52636.
The product of its (nonzero) digits is 1, while the sum is 2.
Adding to 10000000010 its reverse (1000000001), we get a palindrome (11000000011).
Subtracting from 10000000010 its reverse (1000000001), we obtain a palindrome (9000000009).
The spelling of 10000000010 in words is "ten billion, ten", and thus it is an aban number and an uban number.
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