Base | Representation |
---|---|
bin | 1100010110100101101… |
… | …1001011101100111000 |
3 | 202021210010101021021221 |
4 | 3011221123023230320 |
5 | 11434112331143000 |
6 | 241254332441424 |
7 | 21222030230665 |
oct | 3055133135470 |
9 | 667703337257 |
10 | 212222131000 |
11 | 82003951110 |
12 | 35168919274 |
13 | 170214b9359 |
14 | a3b3402a6c |
15 | 57c147161a |
hex | 31696cbb38 |
212222131000 has 128 divisors (see below), whose sum is σ = 541992072960. Its totient is φ = 77136528000.
The previous prime is 212222130997. The next prime is 212222131007. The reversal of 212222131000 is 131222212.
It is a happy number.
212222131000 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 2×2122221310002 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212222131007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46670727 + ... + 46675273.
It is an arithmetic number, because the mean of its divisors is an integer number (4234313070).
Almost surely, 2212222131000 is an apocalyptic number.
212222131000 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 212222131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270996036480).
212222131000 is an abundant number, since it is smaller than the sum of its proper divisors (329769941960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212222131000 is a wasteful number, since it uses less digits than its factorization.
212222131000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8822 (or 8808 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
Adding to 212222131000 its reverse (131222212), we get a palindrome (212353353212).
It can be divided in two parts, 2122 and 22131000, that added together give a palindrome (22133122).
The spelling of 212222131000 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred thirty-one thousand".
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