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11220201202212 = 223210112853240089
BaseRepresentation
bin1010001101000110100000…
…0110110110001000100100
31110201122022010001202121100
42203101220012312020210
52432312433001432322
635510253403320100
72235430021416522
oct243215006661044
943648263052540
1011220201202212
113636508083352
121312672820030
136350a2a06402
142ab0bc555312
15146ce338edac
hexa34681b6224

11220201202212 has 72 divisors (see below), whose sum is σ = 28645336694520. Its totient is φ = 3702733171200.

The previous prime is 11220201202187. The next prime is 11220201202289. The reversal of 11220201202212 is 21220210202211.

It is a happy number.

11220201202212 is a `hidden beast` number, since 1 + 1 + 220 + 201 + 20 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1168422636096 + 10051778566116 = 1080936^2 + 3170454^2 .

It is a super-2 number, since 2×112202012022122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 46613464 + ... + 46853552.

It is an arithmetic number, because the mean of its divisors is an integer number (397851898535).

Almost surely, 211220201202212 is an apocalyptic number.

11220201202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11220201202212 is an abundant number, since it is smaller than the sum of its proper divisors (17425135492308).

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

11220201202212 is a wasteful number, since it uses less digits than its factorization.

11220201202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253053 (or 253048 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11220201202212 its reverse (21220210202211), we get a palindrome (32440411404423).

It can be divided in two parts, 1122020 and 1202212, that added together give a palindrome (2324232).

The spelling of 11220201202212 in words is "eleven trillion, two hundred twenty billion, two hundred one million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 12853 25706 38559 51412 77118 115677 154236 231354 240089 462708 480178 720267 960356 1298153 1440534 2160801 2596306 2881068 3894459 4321602 5192612 7788918 8643204 11683377 15577836 23366754 24248989 46733508 48497978 72746967 96995956 145493934 218240901 290987868 436481802 872963604 3085863917 6171727834 9257591751 12343455668 18515183502 27772775253 37030367004 55545550506 111091101012 311672255617 623344511234 935016766851 1246689022468 1870033533702 2805050300553 3740067067404 5610100601106 11220201202212