Base | Representation |
---|---|
bin | 11001001011010… |
… | …11000001000000 |
3 | 112201102011211110 |
4 | 30211223001000 |
5 | 413031431422 |
6 | 32542443320 |
7 | 5143121412 |
oct | 1445530100 |
9 | 481364743 |
10 | 211202112 |
11 | a9244300 |
12 | 5a893540 |
13 | 349aa084 |
14 | 2009a9b2 |
15 | 1381d60c |
hex | c96b040 |
211202112 has 84 divisors (see below), whose sum is σ = 614291888. Its totient is φ = 63993600.
The previous prime is 211202107. The next prime is 211202113.
211202112 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2112021122 = 89212664226521088, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (211202113) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18687 + ... + 27777.
Almost surely, 2211202112 is an apocalyptic number.
211202112 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 211202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307145944).
211202112 is an abundant number, since it is smaller than the sum of its proper divisors (403089776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211202112 is a wasteful number, since it uses less digits than its factorization.
211202112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9128 (or 9107 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 211202112 is about 14532.7943630948. The cubic root of 211202112 is about 595.5242062490.
It can be divided in two parts, 21120 and 2112, that added together give a palindrome (23232).
The spelling of 211202112 in words is "two hundred eleven million, two hundred two thousand, one hundred twelve".
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