Base | Representation |
---|---|
bin | 10010101000011100… |
… | …11101100110101100 |
3 | 221211010102122211101 |
4 | 21110032131212230 |
5 | 130441232341022 |
6 | 4332331132444 |
7 | 502612125220 |
oct | 112416354654 |
9 | 27733378741 |
10 | 10003012012 |
11 | 4273491a84 |
12 | 1b31ba4124 |
13 | c35503426 |
14 | 6ac708780 |
15 | 3d82a5627 |
hex | 25439d9ac |
10003012012 has 48 divisors (see below), whose sum is σ = 20562438400. Its totient is φ = 4167951552.
The previous prime is 10003012009. The next prime is 10003012013. The reversal of 10003012012 is 21021030001.
10003012012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 10003012012.
It is not an unprimeable number, because it can be changed into a prime (10003012013) 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 15 ways as a sum of consecutive naturals, for example, 1757323 + ... + 1763005.
Almost surely, 210003012012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10003012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281219200).
10003012012 is an abundant number, since it is smaller than the sum of its proper divisors (10559426388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10003012012 is a wasteful number, since it uses less digits than its factorization.
10003012012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7430 (or 7428 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
Adding to 10003012012 its reverse (21021030001), we get a palindrome (31024042013).
The spelling of 10003012012 in words is "ten billion, three million, twelve thousand, twelve".
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