Search a number
-
+
11242424232 = 23321350323879
BaseRepresentation
bin10100111100001100…
…11100011110101000
31002000111121022202200
422132012130132220
5141011030033412
65055324100200
7545412013014
oct123606343650
932014538680
1011242424232
11484a0677a6
122219094660
1310a2216a40
14789177544
1545bec89dc
hex29e19c7a8

11242424232 has 96 divisors (see below), whose sum is σ = 32856969600. Its totient is φ = 3452185728.

The previous prime is 11242424209. The next prime is 11242424239. The reversal of 11242424232 is 23242424211.

It is a happy number.

11242424232 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 424 + 232 = 666.

11242424232 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-2 number, since 2×112424242322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11242424196 and 11242424205.

It is not an unprimeable number, because it can be changed into a prime (11242424239) 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 23 ways as a sum of consecutive naturals, for example, 458869 + ... + 482747.

It is an arithmetic number, because the mean of its divisors is an integer number (342260100).

Almost surely, 211242424232 is an apocalyptic number.

11242424232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242424232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428484800).

11242424232 is an abundant number, since it is smaller than the sum of its proper divisors (21614545368).

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

11242424232 is a wasteful number, since it uses less digits than its factorization.

11242424232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24407 (or 24400 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 11242424232 its reverse (23242424211), we get a palindrome (34484848443).

The spelling of 11242424232 in words is "eleven billion, two hundred forty-two million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 503 936 1006 1509 2012 3018 4024 4527 6036 6539 9054 12072 13078 18108 19617 23879 26156 36216 39234 47758 52312 58851 71637 78468 95516 117702 143274 156936 191032 214911 235404 286548 310427 429822 470808 573096 620854 859644 931281 1241708 1719288 1862562 2483416 2793843 3725124 5587686 7450248 11175372 12011137 22350744 24022274 36033411 48044548 72066822 96089096 108100233 144133644 156144781 216200466 288267288 312289562 432400932 468434343 624579124 864801864 936868686 1249158248 1405303029 1873737372 2810606058 3747474744 5621212116 11242424232