Base | Representation |
---|---|
bin | 1100010011010010000… |
… | …0000100111000010100 |
3 | 202012111020121210012200 |
4 | 3010310200010320110 |
5 | 11430303030040312 |
6 | 241030253444500 |
7 | 21161026146033 |
oct | 3046440047024 |
9 | 665436553180 |
10 | 211334221332 |
11 | 81698727473 |
12 | 34b5b4a0730 |
13 | 16c0c566b10 |
14 | a32b51271a |
15 | 576d5320dc |
hex | 3134804e14 |
211334221332 has 144 divisors (see below), whose sum is σ = 579370559040. Its totient is φ = 64566802944.
The previous prime is 211334221331. The next prime is 211334221387. The reversal of 211334221332 is 233122433112.
211334221332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 211334221296 and 211334221305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211334221331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73969248 + ... + 73972104.
It is an arithmetic number, because the mean of its divisors is an integer number (4023406660).
Almost surely, 2211334221332 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 211334221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289685279520).
211334221332 is an abundant number, since it is smaller than the sum of its proper divisors (368036337708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211334221332 is a wasteful number, since it uses less digits than its factorization.
211334221332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3942 (or 3937 counting only the distinct ones).
The product of its digits is 5184, while the sum is 27.
Adding to 211334221332 its reverse (233122433112), we get a palindrome (444456654444).
The spelling of 211334221332 in words is "two hundred eleven billion, three hundred thirty-four million, two hundred twenty-one thousand, three hundred thirty-two".
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