Base | Representation |
---|---|
bin | 10011110000111001… |
… | …010000110101110100 |
3 | 2000202221211102211002 |
4 | 103300321100311310 |
5 | 321430140142322 |
6 | 13425440302432 |
7 | 1350613012310 |
oct | 236071206564 |
9 | 60687742732 |
10 | 21221412212 |
11 | 8aaaa30100 |
12 | 4143011a18 |
13 | 2002758260 |
14 | 10545cab40 |
15 | 8430d5c92 |
hex | 4f0e50d74 |
21221412212 has 144 divisors (see below), whose sum is σ = 51194215296. Its totient is φ = 7487251200.
The previous prime is 21221412211. The next prime is 21221412217.
It is a happy number.
21221412212 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21221412211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2329787 + ... + 2338877.
It is an arithmetic number, because the mean of its divisors is an integer number (355515384).
Almost surely, 221221412212 is an apocalyptic number.
21221412212 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 21221412212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25597107648).
21221412212 is an abundant number, since it is smaller than the sum of its proper divisors (29972803084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21221412212 is a wasteful number, since it uses less digits than its factorization.
21221412212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9190 (or 9177 counting only the distinct ones).
The product of its digits is 256, while the sum is 20.
The spelling of 21221412212 in words is "twenty-one billion, two hundred twenty-one million, four hundred twelve thousand, two hundred twelve".
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