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11324334330 = 2335375919213
BaseRepresentation
bin10101000101111101…
…11010000011111010
31002020012201210022000
422202332322003322
5141143012144310
65111411441430
7550425152661
oct124276720372
932205653260
1011324334330
114891322aa1
1222405b6276
1310b619565a
14795db9dd8
154642a84c0
hex2a2fba0fa

11324334330 has 128 divisors (see below), whose sum is σ = 31541702400. Its totient is φ = 2888255232.

The previous prime is 11324334319. The next prime is 11324334337. The reversal of 11324334330 is 3343342311.

11324334330 is a `hidden beast` number, since 1 + 1 + 324 + 3 + 3 + 4 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11324334294 and 11324334303.

It is not an unprimeable number, because it can be changed into a prime (11324334337) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 579804 + ... + 599016.

It is an arithmetic number, because the mean of its divisors is an integer number (246419550).

Almost surely, 211324334330 is an apocalyptic number.

11324334330 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 11324334330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770851200).

11324334330 is an abundant number, since it is smaller than the sum of its proper divisors (20217368070).

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

11324334330 is a wasteful number, since it uses less digits than its factorization.

11324334330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19325 (or 19319 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 11324334330 its reverse (3343342311), we get a palindrome (14667676641).

The spelling of 11324334330 in words is "eleven billion, three hundred twenty-four million, three hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 59 74 90 111 118 135 177 185 222 270 295 333 354 370 531 555 590 666 885 999 1062 1110 1593 1665 1770 1998 2183 2655 3186 3330 4366 4995 5310 6549 7965 9990 10915 13098 15930 19213 19647 21830 32745 38426 39294 57639 58941 65490 96065 98235 115278 117882 172917 192130 196470 288195 294705 345834 518751 576390 589410 710881 864585 1037502 1133567 1421762 1729170 2132643 2267134 2593755 3400701 3554405 4265286 5187510 5667835 6397929 6801402 7108810 10202103 10663215 11335670 12795858 17003505 19193787 20404206 21326430 30606309 31989645 34007010 38387574 41941979 51010515 61212618 63979290 83883958 95968935 102021030 125825937 153031545 191937870 209709895 251651874 306063090 377477811 419419790 629129685 754955622 1132433433 1258259370 1887389055 2264866866 3774778110 5662167165 11324334330