Base | Representation |
---|---|
bin | 10110010111101101… |
… | …00000111100000011 |
3 | 1010222222221012221200 |
4 | 23023312200330003 |
5 | 144044030001011 |
6 | 5303423552243 |
7 | 603422213433 |
oct | 131366407403 |
9 | 33888835850 |
10 | 12010000131 |
11 | 5103371948 |
12 | 23b215b683 |
13 | 119525646c |
14 | 81d0a22c3 |
15 | 4a4598856 |
hex | 2cbda0f03 |
12010000131 has 24 divisors (see below), whose sum is σ = 17519255520. Its totient is φ = 7927670016.
The previous prime is 12010000127. The next prime is 12010000133. The reversal of 12010000131 is 13100001021.
12010000131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 12010000131 - 22 = 12010000127 is a prime.
It is a super-2 number, since 2×120100001312 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (12010000133) 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 23 ways as a sum of consecutive naturals, for example, 1081650 + ... + 1092696.
It is an arithmetic number, because the mean of its divisors is an integer number (729968980).
Almost surely, 212010000131 is an apocalyptic number.
12010000131 is a deficient number, since it is larger than the sum of its proper divisors (5509255389).
12010000131 is a wasteful number, since it uses less digits than its factorization.
12010000131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12235 (or 12232 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 12010000131 its reverse (13100001021), we get a palindrome (25110001152).
The spelling of 12010000131 in words is "twelve billion, ten million, one hundred thirty-one", and thus it is an aban number.
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