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11324143321304 = 231123101224324697
BaseRepresentation
bin1010010011001001101110…
…0010100100000011011000
31111002120121000111111121212
42210302123202210003120
52441013321142240204
640030123431522252
72246066554021562
oct244623342440330
944076530444555
1011324143321304
1136765a6759910
12132a840829388
13641b2914cca8
142b213cd80332
15149878719c6e
hexa4c9b8a40d8

11324143321304 has 128 divisors (see below), whose sum is σ = 24421287559680. Its totient is φ = 4872422016000.

The previous prime is 11324143321289. The next prime is 11324143321367. The reversal of 11324143321304 is 40312334142311.

It is a super-2 number, since 2×113241433213042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458510684 + ... + 458535380.

It is an arithmetic number, because the mean of its divisors is an integer number (190791309060).

Almost surely, 211324143321304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324143321304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12210643779840).

11324143321304 is an abundant number, since it is smaller than the sum of its proper divisors (13097144238376).

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

11324143321304 is a wasteful number, since it uses less digits than its factorization.

11324143321304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27081 (or 27077 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 11324143321304 its reverse (40312334142311), we get a palindrome (51636477463615).

The spelling of 11324143321304 in words is "eleven trillion, three hundred twenty-four billion, one hundred forty-three million, three hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 101 184 202 253 404 506 808 1012 1111 2024 2222 2243 2323 4444 4486 4646 8888 8972 9292 17944 18584 24673 24697 25553 49346 49394 51106 51589 98692 98788 102212 103178 197384 197576 204424 206356 226543 271667 412712 453086 543334 567479 568031 906172 1086668 1134958 1136062 1812344 2173336 2269916 2272124 2491973 2494397 4539832 4544248 4983946 4988794 5210489 6248341 9967892 9977588 10420978 12496682 19935784 19955176 20841956 24993364 27438367 41683912 49986728 54876734 55395371 57315379 57371131 109753468 110790742 114630758 114742262 219506936 221581484 229261516 229484524 443162968 458523032 458969048 609349081 631082441 1218698162 1262164882 1274093533 2437396324 2524329764 2548187066 4874792648 5048659528 5096374132 5594932471 10192748264 11189864942 14015028863 22379729884 28030057726 44759459768 56060115452 61544257181 112120230904 123088514362 128683446833 246177028724 257366893666 492354057448 514733787332 1029467574664 1415517915163 2831035830326 5662071660652 11324143321304