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11330122020 = 2235725776679
BaseRepresentation
bin10101000110101001…
…11111000100100100
31002020121121211111220
422203110333010210
5141201002401040
65112135500340
7550525306500
oct124324770444
932217554456
1011330122020
114894616408
1222425276b0
1310b7440b19
14796a85300
15464a4d2d0
hex2a353f124

11330122020 has 144 divisors (see below), whose sum is σ = 36973319040. Its totient is φ = 2584866816.

The previous prime is 11330122019. The next prime is 11330122043. The reversal of 11330122020 is 2022103311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693041 + ... + 1699719.

It is an arithmetic number, because the mean of its divisors is an integer number (256759160).

Almost surely, 211330122020 is an apocalyptic number.

11330122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486659520).

11330122020 is an abundant number, since it is smaller than the sum of its proper divisors (25643197020).

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

11330122020 is a wasteful number, since it uses less digits than its factorization.

11330122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11330122020 its reverse (2022103311), we get a palindrome (13352225331).

The spelling of 11330122020 in words is "eleven billion, three hundred thirty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 577 588 735 980 1154 1470 1731 2308 2885 2940 3462 4039 5770 6679 6924 8078 8655 11540 12117 13358 16156 17310 20037 20195 24234 26716 28273 33395 34620 40074 40390 46753 48468 56546 60585 66790 80148 80780 84819 93506 100185 113092 121170 133580 140259 141365 169638 187012 200370 233765 242340 280518 282730 327271 339276 400740 424095 467530 561036 565460 654542 701295 848190 935060 981813 1309084 1402590 1636355 1696380 1963626 2805180 3272710 3853783 3927252 4909065 6545420 7707566 9818130 11561349 15415132 19268915 19636260 23122698 26976481 38537830 46245396 53952962 57806745 77075660 80929443 107905924 115613490 134882405 161858886 188835367 231226980 269764810 323717772 377670734 404647215 539529620 566506101 755341468 809294430 944176835 1133012202 1618588860 1888353670 2266024404 2832530505 3776707340 5665061010 11330122020