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11241224322220 = 22519257130388339
BaseRepresentation
bin1010001110010100110100…
…1011101011110010101100
31110210122120020202220122201
42203211031023223302230
52433134011411302340
635524051441551244
72240103006116554
oct243451513536254
943718506686581
1011241224322220
1136444160875a2
12131675b345524
136370733547a9
142ac114686164
15147623d5779a
hexa394d2ebcac

11241224322220 has 96 divisors (see below), whose sum is σ = 24965138419200. Its totient is φ = 4239952625664.

The previous prime is 11241224322217. The next prime is 11241224322227. The reversal of 11241224322220 is 2222342214211.

It is not an unprimeable number, because it can be changed into a prime (11241224322227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127206811 + ... + 127295149.

It is an arithmetic number, because the mean of its divisors is an integer number (260053525200).

Almost surely, 211241224322220 is an apocalyptic number.

11241224322220 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 11241224322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482569209600).

11241224322220 is an abundant number, since it is smaller than the sum of its proper divisors (13723914096980).

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

11241224322220 is a wasteful number, since it uses less digits than its factorization.

11241224322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89927 (or 89925 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11241224322220 its reverse (2222342214211), we get a palindrome (13463566536431).

The spelling of 11241224322220 in words is "eleven trillion, two hundred forty-one billion, two hundred twenty-four million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 257 380 514 1028 1285 1303 2570 2606 4883 5140 5212 6515 9766 13030 19532 24415 24757 26060 48830 49514 88339 97660 99028 123785 176678 247570 334871 353356 441695 495140 669742 883390 1339484 1674355 1678441 1766780 3348710 3356882 6362549 6697420 6713764 8392205 12725098 16784410 22703123 25450196 31812745 33568820 45406246 63625490 90812492 113515615 115105717 127250980 227031230 230211434 431359337 454062460 460422868 575528585 862718674 1151057170 1725437348 2156796685 2187008623 2302114340 4313593370 4374017246 8627186740 8748034492 10935043115 21870086230 29582169269 43740172460 59164338538 118328677076 147910846345 295821692690 562061216111 591643385380 1124122432222 2248244864444 2810306080555 5620612161110 11241224322220