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11131133302230 = 23517192683428149
BaseRepresentation
bin1010000111111010101100…
…1111110001010111010110
31110102010101211002122022220
42201332223033301113112
52424333030111132410
635401323321203210
72226124600644654
oct241765317612726
943363354078286
1011131133302230
113601761619857
1212b9356030506
1362987a039606
142a6a6d36bdd4
1514482dc81070
hexa1fab3f15d6

11131133302230 has 128 divisors (see below), whose sum is σ = 29786087232000. Its totient is φ = 2645666924544.

The previous prime is 11131133302229. The next prime is 11131133302253. The reversal of 11131133302230 is 3220333113111.

It is a self number, because there is not a number n which added to its sum of digits gives 11131133302230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25784196 + ... + 26212344.

It is an arithmetic number, because the mean of its divisors is an integer number (232703806500).

Almost surely, 211131133302230 is an apocalyptic number.

11131133302230 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 11131133302230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893043616000).

11131133302230 is an abundant number, since it is smaller than the sum of its proper divisors (18654953929770).

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

11131133302230 is a wasteful number, since it uses less digits than its factorization.

11131133302230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430878.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11131133302230 its reverse (3220333113111), we get a palindrome (14351466415341).

The spelling of 11131133302230 in words is "eleven trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 2683 3230 4845 5366 8049 9690 13415 16098 26830 40245 45611 50977 80490 91222 101954 136833 152931 228055 254885 273666 305862 428149 456110 509770 684165 764655 856298 866609 1284447 1368330 1529310 1733218 2140745 2568894 2599827 4281490 4333045 5199654 6422235 7278533 8134831 8666090 12844470 12999135 14557066 16269662 21835599 24404493 25998270 36392665 40674155 43671198 48808986 72785330 81348310 109177995 122022465 138292127 218355990 244044930 276584254 414876381 691460635 829752762 1148723767 1382921270 2074381905 2297447534 3446171301 4148763810 5743618835 6892342602 11487237670 17230856505 19528304039 21825751573 34461713010 39056608078 43651503146 58584912117 65477254719 97641520195 109128757865 117169824234 130954509438 195283040390 218257515730 292924560585 327386273595 371037776741 585849121170 654772547190 742075553482 1113113330223 1855188883705 2226226660446 3710377767410 5565566651115 11131133302230