Base | Representation |
---|---|
bin | 1100010110111111101… |
… | …0111111000011101000 |
3 | 202022001201111001100010 |
4 | 3011233322333003220 |
5 | 11434323232143422 |
6 | 241313225011520 |
7 | 21224522556402 |
oct | 3055772770350 |
9 | 668051431303 |
10 | 212331131112 |
11 | 8205a42a551 |
12 | 35199323ba0 |
13 | 1703ac61569 |
14 | a3c3a97b72 |
15 | 57cad02b0c |
hex | 316febf0e8 |
212331131112 has 64 divisors (see below), whose sum is σ = 562583880000. Its totient is φ = 66550768640.
The previous prime is 212331131071. The next prime is 212331131113. The reversal of 212331131112 is 211131133212.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (212331131113) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187639 + ... + 678137.
It is an arithmetic number, because the mean of its divisors is an integer number (8790373125).
Almost surely, 2212331131112 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 212331131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281291940000).
212331131112 is an abundant number, since it is smaller than the sum of its proper divisors (350252748888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212331131112 is a wasteful number, since it uses less digits than its factorization.
212331131112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491586 (or 491582 counting only the distinct ones).
The product of its digits is 216, while the sum is 21.
Adding to 212331131112 its reverse (211131133212), we get a palindrome (423462264324).
The spelling of 212331131112 in words is "two hundred twelve billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred twelve".
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