Search a number
-
+
11115024030 = 23251130736571
BaseRepresentation
bin10100101101000000…
…11100111010011110
31001200121212201112200
422112200130322132
5140230421232110
65034533312330
7542304100605
oct122640347236
931617781480
1011115024030
114794161080
1221a24956a6
1310819cb6c6
14776292a3c
15450c106c0
hex29681ce9e

11115024030 has 96 divisors (see below), whose sum is σ = 31629806208. Its totient is φ = 2685700800.

The previous prime is 11115024007. The next prime is 11115024047. The reversal of 11115024030 is 3042051111.

11115024030 is a `hidden beast` number, since 111 + 150 + 2 + 403 + 0 = 666.

11115024030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11115023994 and 11115024012.

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, 285645 + ... + 322215.

It is an arithmetic number, because the mean of its divisors is an integer number (329477148).

Almost surely, 211115024030 is an apocalyptic number.

11115024030 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 11115024030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814903104).

11115024030 is an abundant number, since it is smaller than the sum of its proper divisors (20514782178).

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

11115024030 is a wasteful number, since it uses less digits than its factorization.

11115024030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36902 (or 36899 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11115024030 its reverse (3042051111), we get a palindrome (14157075141).

The spelling of 11115024030 in words is "eleven billion, one hundred fifteen million, twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 307 330 495 614 921 990 1535 1842 2763 3070 3377 4605 5526 6754 9210 10131 13815 16885 20262 27630 30393 33770 36571 50655 60786 73142 101310 109713 151965 182855 219426 303930 329139 365710 402281 548565 658278 804562 1097130 1206843 1645695 2011405 2413686 3291390 3620529 4022810 6034215 7241058 11227297 12068430 18102645 22454594 33681891 36205290 56136485 67363782 101045673 112272970 123500267 168409455 202091346 247000534 336818910 370500801 505228365 617501335 741001602 1010456730 1111502403 1235002670 1852504005 2223004806 3705008010 5557512015 11115024030