Search a number
-
+
213232324304 = 24371093304493
BaseRepresentation
bin1100011010010110100…
…0110000111011010000
3202101101112020101222202
43012211220300323100
511443144433334204
6241542500422332
721256044564656
oct3064550607320
9671345211882
10213232324304
11824820a730a
12353ab0a79a8
131715288507c
14a46b644dd6
15582eeb7e1e
hex31a5a30ed0

213232324304 has 40 divisors (see below), whose sum is σ = 428196332520. Its totient is φ = 102782919168.

The previous prime is 213232324297. The next prime is 213232324307. The reversal of 213232324304 is 403423232312.

It can be written as a sum of positive squares in 4 ways, for example, as 97256659600 + 115975664704 = 311860^2 + 340552^2 .

It is a super-3 number, since 3×2132323243043 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213232324307) 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 7 ways as a sum of consecutive naturals, for example, 1587719 + ... + 1716774.

It is an arithmetic number, because the mean of its divisors is an integer number (10704908313).

Almost surely, 2213232324304 is an apocalyptic number.

It is an amenable number.

213232324304 is an abundant number, since it is smaller than the sum of its proper divisors (214964008216).

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

213232324304 is a wasteful number, since it uses less digits than its factorization.

213232324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304647 (or 3304641 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 213232324304 its reverse (403423232312), we get a palindrome (616655556616).

The spelling of 213232324304 in words is "two hundred thirteen billion, two hundred thirty-two million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 37 74 109 148 218 296 436 592 872 1744 4033 8066 16132 32264 64528 3304493 6608986 13217972 26435944 52871888 122266241 244532482 360189737 489064964 720379474 978129928 1440758948 1956259856 2881517896 5763035792 13327020269 26654040538 53308081076 106616162152 213232324304