Base | Representation |
---|---|
bin | 110000011101001100001101… |
… | …101001110101100000111011 |
3 | 1000221120022212102112211020222 |
4 | 300131030031221311200323 |
5 | 210413112302100044011 |
6 | 2033130222012210255 |
7 | 62613564156551210 |
oct | 6035141551654073 |
9 | 1027508772484228 |
10 | 213112211331131 |
11 | 619a4421521a42 |
12 | 1ba9a6a846998b |
13 | 91bb51a612248 |
14 | 3a8a9867b9b07 |
15 | 199880ea27ddb |
hex | c1d30da7583b |
213112211331131 has 32 divisors (see below), whose sum is σ = 258130781563392. Its totient is φ = 171757755486720.
The previous prime is 213112211331053. The next prime is 213112211331157. The reversal of 213112211331131 is 131133112211312.
213112211331131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-213112211331131 is a prime.
It is a super-3 number, since 3×2131122113311313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 213112211331131.
It is not an unprimeable number, because it can be changed into a prime (213112211331191) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430621705 + ... + 1430770661.
It is an arithmetic number, because the mean of its divisors is an integer number (8066586923856).
Almost surely, 2213112211331131 is an apocalyptic number.
213112211331131 is a deficient number, since it is larger than the sum of its proper divisors (45018570232261).
213112211331131 is a wasteful number, since it uses less digits than its factorization.
213112211331131 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 160419.
The product of its digits is 648, while the sum is 26.
Adding to 213112211331131 its reverse (131133112211312), we get a palindrome (344245323542443).
The spelling of 213112211331131 in words is "two hundred thirteen trillion, one hundred twelve billion, two hundred eleven million, three hundred thirty-one thousand, one hundred thirty-one".
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