Base | Representation |
---|---|
bin | 10010101001010011… |
… | …00111111010100010 |
3 | 221211121211101210110 |
4 | 21110221213322202 |
5 | 131000043212010 |
6 | 4333143512150 |
7 | 503026501455 |
oct | 112451477242 |
9 | 27747741713 |
10 | 10010132130 |
11 | 4277505479 |
12 | 1b34458656 |
13 | c36b2720b |
14 | 6ad63d49c |
15 | 3d8c10120 |
hex | 254a67ea2 |
10010132130 has 64 divisors (see below), whose sum is σ = 24869980800. Its totient is φ = 2575534080.
The previous prime is 10010132129. The next prime is 10010132201. The reversal of 10010132130 is 3123101001.
10010132130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 31 ways as a sum of consecutive naturals, for example, 1640385 + ... + 1646475.
It is an arithmetic number, because the mean of its divisors is an integer number (388593450).
Almost surely, 210010132130 is an apocalyptic number.
10010132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10010132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12434990400).
10010132130 is an abundant number, since it is smaller than the sum of its proper divisors (14859848670).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10010132130 is a wasteful number, since it uses less digits than its factorization.
10010132130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8019.
The product of its (nonzero) digits is 18, while the sum is 12.
Adding to 10010132130 its reverse (3123101001), we get a palindrome (13133233131).
It can be divided in two parts, 100101 and 32130, that added together give a palindrome (132231).
The spelling of 10010132130 in words is "ten billion, ten million, one hundred thirty-two thousand, one hundred thirty".
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