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11424204330 = 23571141120623
BaseRepresentation
bin10101010001110111…
…11000011000101010
31002111011122201011220
422220323320120222
5141344044014310
65125340202510
7553050064110
oct125073703052
932434581156
1011424204330
114932735890
122269b39436
131100a91c26
147a5375ab0
1546ce34670
hex2a8ef862a

11424204330 has 128 divisors (see below), whose sum is σ = 35017629696. Its totient is φ = 2315942400.

The previous prime is 11424204329. The next prime is 11424204343. The reversal of 11424204330 is 3340242411.

11424204330 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 11424204330.

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 63 ways as a sum of consecutive naturals, for example, 34399 + ... + 155021.

It is an arithmetic number, because the mean of its divisors is an integer number (273575232).

Almost surely, 211424204330 is an apocalyptic number.

11424204330 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 11424204330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17508814848).

11424204330 is an abundant number, since it is smaller than the sum of its proper divisors (23593425366).

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

11424204330 is a wasteful number, since it uses less digits than its factorization.

11424204330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120692.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11424204330 its reverse (3340242411), we get a palindrome (14764446741).

The spelling of 11424204330 in words is "eleven billion, four hundred twenty-four million, two hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 41 42 55 66 70 77 82 105 110 123 154 165 205 210 231 246 287 330 385 410 451 462 574 615 770 861 902 1155 1230 1353 1435 1722 2255 2310 2706 2870 3157 4305 4510 6314 6765 8610 9471 13530 15785 18942 31570 47355 94710 120623 241246 361869 603115 723738 844361 1206230 1326853 1688722 1809345 2533083 2653706 3618690 3980559 4221805 4945543 5066166 6634265 7961118 8443610 9287971 9891086 12665415 13268530 14836629 18575942 19902795 24727715 25330830 27863913 29673258 34618801 39805590 46439855 49455430 54400973 55727826 69237602 74183145 92879710 103856403 108801946 139319565 148366290 163202919 173094005 207712806 272004865 278639130 326405838 346188010 380806811 519282015 544009730 761613622 816014595 1038564030 1142420433 1632029190 1904034055 2284840866 3808068110 5712102165 11424204330