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11314423230 = 23511215719853
BaseRepresentation
bin10101000100110010…
…00110010110111110
31002012112002020211020
422202121012112332
5141132443020410
65110415205010
7550245003435
oct124231062676
932175066736
1011314423230
114886773700
122239216766
1310b41053b6
1479495a11c
1546349ba70
hex2a26465be

11314423230 has 96 divisors (see below), whose sum is σ = 30039260832. Its totient is φ = 2725282560.

The previous prime is 11314423171. The next prime is 11314423273. The reversal of 11314423230 is 3232441311.

It is a happy number.

11314423230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11314423230.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 559984 + ... + 579836.

It is an arithmetic number, because the mean of its divisors is an integer number (312908967).

Almost surely, 211314423230 is an apocalyptic number.

11314423230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314423230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019630416).

11314423230 is an abundant number, since it is smaller than the sum of its proper divisors (18724837602).

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

11314423230 is a wasteful number, since it uses less digits than its factorization.

11314423230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20042 (or 20031 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11314423230 its reverse (3232441311), we get a palindrome (14546864541).

The spelling of 11314423230 in words is "eleven billion, three hundred fourteen million, four hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 157 165 242 314 330 363 471 605 726 785 942 1210 1570 1727 1815 2355 3454 3630 4710 5181 8635 10362 17270 18997 19853 25905 37994 39706 51810 56991 59559 94985 99265 113982 119118 189970 198530 218383 284955 297795 436766 569910 595590 655149 1091915 1310298 2183830 2402213 3116921 3275745 4804426 6233842 6551490 7206639 9350763 12011065 14413278 15584605 18701526 24022130 31169210 34286131 36033195 46753815 68572262 72066390 93507630 102858393 171430655 205716786 342861310 377147441 514291965 754294882 1028583930 1131442323 1885737205 2262884646 3771474410 5657211615 11314423230