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11111021220112 = 24111721991097717
BaseRepresentation
bin1010000110101111110001…
…1110010001000100010000
31110100012111011200000022121
42201223330132101010100
52424020332413020422
635344155505344024
72224513315035022
oct241537436210420
943305434600277
1011111021220112
1135a41808a6890
1212b5482638014
136279c337a9c8
142a5ac222c012
151440532758c7
hexa1afc791110

11111021220112 has 120 divisors (see below), whose sum is σ = 25072757294400. Its totient is φ = 4729487431680.

The previous prime is 11111021220107. The next prime is 11111021220199. The reversal of 11111021220112 is 21102212011111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9573078 + ... + 10670794.

It is an arithmetic number, because the mean of its divisors is an integer number (208939644120).

Almost surely, 211111021220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111021220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12536378647200).

11111021220112 is an abundant number, since it is smaller than the sum of its proper divisors (13961736074288).

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

11111021220112 is a wasteful number, since it uses less digits than its factorization.

11111021220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097969 (or 1097946 counting only the distinct ones).

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

Adding to 11111021220112 its reverse (21102212011111), we get a palindrome (32213233231223).

The spelling of 11111021220112 in words is "eleven trillion, one hundred eleven billion, twenty-one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 199 272 289 374 398 578 748 796 1156 1496 1592 2189 2312 2992 3179 3184 3383 4378 4624 6358 6766 8756 12716 13532 17512 25432 27064 35024 37213 50864 54128 57511 74426 115022 148852 230044 297704 460088 595408 632621 920176 1097717 1265242 2195434 2530484 4390868 5060968 8781736 10121936 12074887 17563472 18661189 24149774 37322378 48299548 74644756 96599096 149289512 193198192 205273079 218445683 298579024 317240213 410546158 436891366 634480426 821092316 873782732 1268960852 1642184632 1747565464 2402902513 2537921704 3284369264 3489642343 3495130928 3713576611 4805805026 5075843408 6979284686 7427153222 9611610052 13958569372 14854306444 19223220104 27917138744 29708612888 38446440208 40849342721 55834277488 59417225776 63130802387 81698685442 126261604774 163397370884 252523209548 326794741768 505046419096 653589483536 694438826257 1010092838192 1388877652514 2777755305028 5555510610056 11111021220112