Base | Representation |
---|---|
bin | 11001001011011… |
… | …01100000001100 |
3 | 112201102200210210 |
4 | 30211231200030 |
5 | 413032243200 |
6 | 32543002420 |
7 | 5143163205 |
oct | 1445554014 |
9 | 481380723 |
10 | 211212300 |
11 | a9250a22 |
12 | 5a899410 |
13 | 349b18c0 |
14 | 200a05ac |
15 | 13821650 |
hex | c96d80c |
211212300 has 144 divisors (see below), whose sum is σ = 679734272. Its totient is φ = 50284800.
The previous prime is 211212293. The next prime is 211212319. The reversal of 211212300 is 3212112.
211212300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2112123002 = 89221271342580000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120027 + ... + 121773.
Almost surely, 2211212300 is an apocalyptic number.
211212300 is a gapful number since it is divisible by the number (20) 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 211212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339867136).
211212300 is an abundant number, since it is smaller than the sum of its proper divisors (468521972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211212300 is a wasteful number, since it uses less digits than its factorization.
211212300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1808 (or 1801 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 211212300 is about 14533.1448764540. The cubic root of 211212300 is about 595.5337817578.
Adding to 211212300 its reverse (3212112), we get a palindrome (214424412).
The spelling of 211212300 in words is "two hundred eleven million, two hundred twelve thousand, three hundred".
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