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11201021303020 = 22517210131760527
BaseRepresentation
bin1010001011111111000011…
…1001010101100011101100
31110122210210102200221011121
42202333300321111203230
52432004142423144040
635453402251430324
72234150515105213
oct242776071254354
943583712627147
1011201021303020
11362936557419a
12130a9bb4553a4
136333371cb933
142aa1bd14c07a
1514656e61bc4a
hexa2ff0e558ec

11201021303020 has 144 divisors (see below), whose sum is σ = 25314612365952. Its totient is φ = 4161864601600.

The previous prime is 11201021302997. The next prime is 11201021303107. The reversal of 11201021303020 is 2030312010211.

It is a super-2 number, since 2×112010213030202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201021302985 and 11201021303003.

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, 185027997 + ... + 185088523.

It is an arithmetic number, because the mean of its divisors is an integer number (175795919208).

Almost surely, 211201021303020 is an apocalyptic number.

11201021303020 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 11201021303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657306182976).

11201021303020 is an abundant number, since it is smaller than the sum of its proper divisors (14113591062932).

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

11201021303020 is a wasteful number, since it uses less digits than its factorization.

11201021303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60988 (or 60969 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11201021303020 its reverse (2030312010211), we get a palindrome (13231333313231).

The spelling of 11201021303020 in words is "eleven trillion, two hundred one billion, twenty-one million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 289 317 340 404 505 578 634 1010 1156 1268 1445 1585 1717 2020 2890 3170 3434 5389 5780 6340 6868 8585 10778 17170 21556 26945 29189 32017 34340 53890 58378 60527 64034 91613 107780 116756 121054 128068 145945 160085 183226 242108 291890 302635 320170 366452 458065 544289 583780 605270 640340 916130 1028959 1088578 1210540 1832260 2057918 2177156 2721445 4115836 5144795 5442890 6113227 9252913 10289590 10885780 12226454 17492303 18505826 19187059 20579180 24452908 30566135 34984606 37011652 38374118 46264565 61132270 69969212 76748236 87461515 92529130 95935295 103924859 122264540 174923030 185058260 191870590 207849718 326180003 349846060 383741180 415699436 519624295 652360006 1039248590 1304720012 1630900015 1766722603 1937892959 2078497180 3261800030 3533445206 3875785918 5545060051 6523600060 7066890412 7751571836 8833613015 9689464795 11090120102 17667226030 19378929590 22180240204 27725300255 32944180303 35334452060 38757859180 55450600510 65888360606 110901201020 131776721212 164720901515 329441803030 560051065151 658883606060 1120102130302 2240204260604 2800255325755 5600510651510 11201021303020