Search a number
-
+
243005306012 = 227192227105907
BaseRepresentation
bin1110001001010000111…
…1101011010010011100
3212020020110100120210222
43202110033223102130
512440133324243022
6303345103020512
723361620006630
oct3422417532234
9766213316728
10243005306012
1194070184117
123b119b9a738
1319bb8bc3101
14ba93876dc0
1564c3bec242
hex38943eb49c

243005306012 has 72 divisors (see below), whose sum is σ = 515200904064. Its totient is φ = 98228238624.

The previous prime is 243005305987. The next prime is 243005306023. The reversal of 243005306012 is 210603500342.

243005306012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 2241563 + ... + 2347469.

It is an arithmetic number, because the mean of its divisors is an integer number (7155568112).

Almost surely, 2243005306012 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 243005306012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257600452032).

243005306012 is an abundant number, since it is smaller than the sum of its proper divisors (272195598052).

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

243005306012 is a wasteful number, since it uses less digits than its factorization.

243005306012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106183 (or 106162 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 243005306012 its reverse (210603500342), we get a palindrome (453608806354).

The spelling of 243005306012 in words is "two hundred forty-three billion, five million, three hundred six thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 227 266 361 454 532 722 908 1444 1589 2527 3178 4313 5054 6356 8626 10108 17252 30191 60382 81947 105907 120764 163894 211814 327788 423628 573629 741349 1147258 1482698 2012233 2294516 2965396 4024466 8048932 14085631 24040889 28171262 38232427 48081778 56342524 76464854 96163556 152929708 168286223 267626989 336572446 456776891 535253978 673144892 913553782 1070507956 1827107564 3197438237 6394876474 8678760929 12789752948 17357521858 34715043716 60751326503 121502653006 243005306012