Base | Representation |
---|---|
bin | 1100010010001001101… |
… | …1111000000000000000 |
3 | 202011201010022011012221 |
4 | 3010202123320000000 |
5 | 11424142432130422 |
6 | 240540225300424 |
7 | 21150356003125 |
oct | 3044233700000 |
9 | 664633264187 |
10 | 211031130112 |
11 | 81552631560 |
12 | 34a95a94714 |
13 | 16b91825cba |
14 | a2dd17674c |
15 | 5751b123c7 |
hex | 31226f8000 |
211031130112 has 128 divisors (see below), whose sum is σ = 466315603200. Its totient is φ = 94696243200.
The previous prime is 211031130071. The next prime is 211031130139.
It is a happy number.
211031130112 is nontrivially palindromic in base 10.
211031130112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-3 number, since 3×2110311301123 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28471687 + ... + 28479097.
It is an arithmetic number, because the mean of its divisors is an integer number (3643090650).
Almost surely, 2211031130112 is an apocalyptic number.
211031130112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211031130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233157801600).
211031130112 is an abundant number, since it is smaller than the sum of its proper divisors (255284473088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211031130112 is an frugal number, since it uses more digits than its factorization.
211031130112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7531 (or 7503 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 16.
It can be divided in two parts, 211031 and 130112, that added together give a palindrome (341143).
The spelling of 211031130112 in words is "two hundred eleven billion, thirty-one million, one hundred thirty thousand, one hundred twelve".
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