Base | Representation |
---|---|
bin | 101110111000110110000… |
… | …010100101110110101000 |
3 | 102102000212221001012100201 |
4 | 232320312002211312220 |
5 | 410242411310333000 |
6 | 10504121013441544 |
7 | 451535303063152 |
oct | 56706602456650 |
9 | 12360787035321 |
10 | 3222132121000 |
11 | 1032553643a71 |
12 | 4405796402b4 |
13 | 1a4acc180060 |
14 | b1d4850bad2 |
15 | 58c35be396a |
hex | 2ee360a5da8 |
3222132121000 has 128 divisors (see below), whose sum is σ = 8121095892000. Its totient is φ = 1189516492800.
The previous prime is 3222132120923. The next prime is 3222132121049. The reversal of 3222132121000 is 1212312223.
3222132121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 16 ways, for example, as 73331556804 + 3148800564196 = 270798^2 + 1774486^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98120584 + ... + 98153416.
Almost surely, 23222132121000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3222132121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060547946000).
3222132121000 is an abundant number, since it is smaller than the sum of its proper divisors (4898963771000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3222132121000 is a wasteful number, since it uses less digits than its factorization.
3222132121000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40416 (or 40402 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
Adding to 3222132121000 its reverse (1212312223), we get a palindrome (3223344433223).
The spelling of 3222132121000 in words is "three trillion, two hundred twenty-two billion, one hundred thirty-two million, one hundred twenty-one thousand".
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