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11100110111202 = 2375334960723539
BaseRepresentation
bin1010000110000111001000…
…0111101100000111100010
31110022011022202111020201210
42201201302013230013202
52423331011142024302
635335153054410550
72223646035115620
oct241416207540742
943264282436653
1011100110111202
11359a591862202
1212b3338500a56
136269749a7648
142a536909a510
15143b153e466c
hexa18721ec1e2

11100110111202 has 128 divisors (see below), whose sum is σ = 25968273408000. Its totient is φ = 3097462208256.

The previous prime is 11100110111173. The next prime is 11100110111263. The reversal of 11100110111202 is 20211101100111.

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 63 ways as a sum of consecutive naturals, for example, 471550749 + ... + 471574287.

It is an arithmetic number, because the mean of its divisors is an integer number (202877136000).

Almost surely, 211100110111202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100110111202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984136704000).

11100110111202 is an abundant number, since it is smaller than the sum of its proper divisors (14868163296798).

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

11100110111202 is a wasteful number, since it uses less digits than its factorization.

11100110111202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24560.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11100110111202 its reverse (20211101100111), we get a palindrome (31311211211313).

The spelling of 11100110111202 in words is "eleven trillion, one hundred billion, one hundred ten million, one hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 349 371 607 698 742 1047 1113 1214 1821 2094 2226 2443 3642 4249 4886 7329 8498 12747 14658 18497 23539 25494 32171 36994 47078 55491 64342 70617 96513 110982 129479 141234 164773 193026 211843 225197 258958 329546 388437 423686 450394 494319 635529 675591 776874 988638 1247567 1271058 1351182 1482901 2495134 2965802 3742701 4448703 7485402 8215111 8732969 8897406 11227679 14288173 16430222 17465938 22455358 24645333 26198907 28576346 33683037 42864519 49290666 52397814 57505777 67366074 78593753 85729038 100017211 115011554 157187506 172517331 200034422 235781259 300051633 345034662 435400883 471562518 600103266 757273169 870801766 1306202649 1514546338 2271819507 2612405298 3047806181 4543639014 4986572377 5300912183 6095612362 9143418543 9973144754 10601824366 14959717131 15902736549 18286837086 29919434262 31805473098 34906006639 69812013278 104718019917 209436039834 264288335981 528576671962 792865007943 1585730015886 1850018351867 3700036703734 5550055055601 11100110111202