Base | Representation |
---|---|
bin | 1100010011001100110… |
… | …0001010001100111010 |
3 | 202012102201020011012220 |
4 | 3010303030022030322 |
5 | 11430231412114114 |
6 | 241024150144510 |
7 | 21160341155043 |
oct | 3046314121472 |
9 | 665381204186 |
10 | 211312223034 |
11 | 81687271860 |
12 | 34b54052136 |
13 | 16c07b33c83 |
14 | a3286278ca |
15 | 576b6390a9 |
hex | 313330a33a |
211312223034 has 128 divisors (see below), whose sum is σ = 487710720000. Its totient is φ = 60409609920.
The previous prime is 211312223033. The next prime is 211312223041. The reversal of 211312223034 is 430322213112.
It is a junction number, because it is equal to n+sod(n) for n = 211312222995 and 211312223013.
It is not an unprimeable number, because it can be changed into a prime (211312223033) 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 63 ways as a sum of consecutive naturals, for example, 105707967 + ... + 105709965.
It is an arithmetic number, because the mean of its divisors is an integer number (3810240000).
Almost surely, 2211312223034 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211312223034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360000).
211312223034 is an abundant number, since it is smaller than the sum of its proper divisors (276398496966).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211312223034 is a wasteful number, since it uses less digits than its factorization.
211312223034 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2960.
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 211312223034 its reverse (430322213112), we get a palindrome (641634436146).
The spelling of 211312223034 in words is "two hundred eleven billion, three hundred twelve million, two hundred twenty-three thousand, thirty-four".
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