Search a number
-
+
213324104412 = 22334346199643
BaseRepresentation
bin1100011010101100011…
…0111000001011011100
3202101121220221022122000
43012223012320023130
511443341432320122
6241555535522300
721261240653316
oct3065306701334
9671556838560
10213324104412
1182519994041
1235415989390
13171688ab323
14a4798d67b6
1558380970ac
hex31ab1b82dc

213324104412 has 96 divisors (see below), whose sum is σ = 567157704960. Its totient is φ = 69303003840.

The previous prime is 213324104309. The next prime is 213324104423. The reversal of 213324104412 is 214401423312.

213324104412 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 241 + 0 + 4 + 412 = 666.

213324104412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2133241044123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2091063 + ... + 2190705.

It is an arithmetic number, because the mean of its divisors is an integer number (5907892760).

Almost surely, 2213324104412 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 213324104412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283578852480).

213324104412 is an abundant number, since it is smaller than the sum of its proper divisors (353833600548).

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

213324104412 is a wasteful number, since it uses less digits than its factorization.

213324104412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100160 (or 100152 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 213324104412 its reverse (214401423312), we get a palindrome (427725527724).

The spelling of 213324104412 in words is "two hundred thirteen billion, three hundred twenty-four million, one hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 461 516 774 922 1161 1383 1548 1844 2322 2766 4149 4644 5532 8298 12447 16596 19823 24894 39646 49788 59469 79292 99643 118938 178407 199286 237876 298929 356814 398572 535221 597858 713628 896787 1070442 1195716 1793574 2140884 2690361 3587148 4284649 5380722 8569298 10761444 12853947 17138596 25707894 38561841 45935423 51415788 77123682 91870846 115685523 137806269 154247364 183741692 231371046 275612538 413418807 462742092 551225076 826837614 1240256421 1653675228 1975223189 2480512842 3950446378 4961025684 5925669567 7900892756 11851339134 17777008701 23702678268 35554017402 53331026103 71108034804 106662052206 213324104412