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11011241424220 = 2252325979722133
BaseRepresentation
bin1010000000111100000100…
…1000100011010101011100
31102222122221100101012022121
42200033001020203111130
52420402010301033340
635230254450152324
72214351553543012
oct240170110432534
942878840335277
1011011241424220
1135659287a3354
12129a0765826a4
1361b48137a86b
142a0d3852c8b2
1514166353694a
hexa03c122355c

11011241424220 has 144 divisors (see below), whose sum is σ = 24614355517920. Its totient is φ = 4136206632448.

The previous prime is 11011241424191. The next prime is 11011241424229. The reversal of 11011241424220 is 2242414211011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011241424229) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 497492274 + ... + 497514406.

It is an arithmetic number, because the mean of its divisors is an integer number (170933024430).

Almost surely, 211011241424220 is an apocalyptic number.

11011241424220 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 11011241424220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307177758960).

11011241424220 is an abundant number, since it is smaller than the sum of its proper divisors (13603114093700).

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

11011241424220 is a wasteful number, since it uses less digits than its factorization.

11011241424220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23044 (or 23019 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 11011241424220 its reverse (2242414211011), we get a palindrome (13253655635231).

The spelling of 11011241424220 in words is "eleven trillion, eleven billion, two hundred forty-one million, four hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 529 590 797 1058 1180 1357 1594 2116 2645 2714 3188 3985 5290 5428 6785 7970 10580 13570 15940 18331 22133 27140 31211 36662 44266 47023 62422 73324 88532 91655 94046 110665 124844 156055 183310 188092 221330 235115 312110 366620 421613 442660 470230 509059 624220 843226 940460 1018118 1081529 1305847 1686452 2036236 2108065 2163058 2545295 2611694 4216130 4326116 5090590 5223388 5407645 6529235 8432260 10181180 10815290 11708357 13058470 17640001 21630580 23416714 24875167 26116940 30034481 35280002 46833428 49750334 58541785 60068962 70560004 88200005 99500668 117083570 120137924 124375835 150172405 176400010 234167140 248751670 300344810 352800020 405720023 497503340 600689620 690793063 811440046 1040760059 1381586126 1622880092 2028600115 2081520118 2763172252 3453965315 4057200230 4163040236 5203800295 6907930630 8114400460 9331560529 10407600590 13815861260 18663121058 20815201180 23937481357 37326242116 46657802645 47874962714 93315605290 95749925428 119687406785 186631210580 239374813570 478749627140 550562071211 1101124142422 2202248284844 2752810356055 5505620712110 11011241424220