Search a number
-
+
213112013322 = 231313123389513
BaseRepresentation
bin1100011001111001110…
…1110100001000001010
3202101002010211222100110
43012132131310020022
511442423133411242
6241522522015150
721253054140045
oct3063635641012
9671063758313
10213112013322
11824201a294a
12353769474b6
131713397c740
14a459687c5c
15582465039c
hex319e77420a

213112013322 has 64 divisors (see below), whose sum is σ = 464504616576. Its totient is φ = 64792366080.

The previous prime is 213112013297. The next prime is 213112013329. The reversal of 213112013322 is 223310211312.

It is not an unprimeable number, because it can be changed into a prime (213112013329) 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, 2336038 + ... + 2425550.

It is an arithmetic number, because the mean of its divisors is an integer number (7257884634).

Almost surely, 2213112013322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213112013322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232252308288).

213112013322 is an abundant number, since it is smaller than the sum of its proper divisors (251392603254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213112013322 is a wasteful number, since it uses less digits than its factorization.

213112013322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89895.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213112013322 its reverse (223310211312), we get a palindrome (436422224634).

The spelling of 213112013322 in words is "two hundred thirteen billion, one hundred twelve million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 131 233 262 393 466 699 786 1398 1703 3029 3406 5109 6058 9087 10218 18174 30523 61046 89513 91569 179026 183138 268539 396799 537078 793598 1163669 1190397 2327338 2380794 3491007 6982014 11726203 20856529 23452406 35178609 41713058 62569587 70357218 125139174 152440639 271134877 304881278 457321917 542269754 813404631 914643834 1626809262 2732205299 5464410598 8196615897 16393231794 35518668887 71037337774 106556006661 213112013322