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11310022110 = 2354359181821
BaseRepresentation
bin10101000100010000…
…10011110111011110
31002012012210122121210
422202020103313132
5141130331201420
65110141005250
7550162413252
oct124210236736
932165718553
1011310022110
114884238012
122237853826
1310b322409a
14794132262
15462dcc9e0
hex2a2213dde

11310022110 has 128 divisors (see below), whose sum is σ = 28436728320. Its totient is φ = 2876428800.

The previous prime is 11310022091. The next prime is 11310022121. The reversal of 11310022110 is 1122001311.

11310022110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13775500 + ... + 13776320.

It is an arithmetic number, because the mean of its divisors is an integer number (222161940).

Almost surely, 211310022110 is an apocalyptic number.

11310022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14218364160).

11310022110 is an abundant number, since it is smaller than the sum of its proper divisors (17126706210).

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

11310022110 is a wasteful number, since it uses less digits than its factorization.

11310022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114.

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

Adding to 11310022110 its reverse (1122001311), we get a palindrome (12432023421).

The spelling of 11310022110 in words is "eleven billion, three hundred ten million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 59 86 118 129 177 181 215 258 295 354 362 430 543 590 645 821 885 905 1086 1290 1642 1770 1810 2463 2537 2715 4105 4926 5074 5430 7611 7783 8210 10679 12315 12685 15222 15566 21358 23349 24630 25370 32037 35303 38055 38915 46698 48439 53395 64074 70606 76110 77830 96878 105909 106790 116745 145317 148601 160185 176515 211818 233490 242195 290634 297202 320370 353030 445803 459197 484390 529545 726585 743005 891606 918394 1059090 1377591 1453170 1486010 2082877 2229015 2295985 2755182 4165754 4458030 4591970 6248631 6389843 6887955 8767459 10414385 12497262 12779686 13775910 17534918 19169529 20828770 26302377 31243155 31949215 38339058 43837295 52604754 62486310 63898430 87674590 95847645 131511885 191695290 263023770 377000737 754001474 1131002211 1885003685 2262004422 3770007370 5655011055 11310022110