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11221100221110 = 23513137241187107
BaseRepresentation
bin1010001101001001110110…
…1100010101001010110110
31110201201121202201122200120
42203102131230111022312
52432321303124033420
635510522520352410
72235461216101053
oct243223554251266
943651552648616
1011221100221110
1136369295a557a
121312883915706
136351b7048360
142ab165ad802a
15146d47275d40
hexa349db152b6

11221100221110 has 128 divisors (see below), whose sum is σ = 29226375811584. Its totient is φ = 2740786805760.

The previous prime is 11221100221091. The next prime is 11221100221151. The reversal of 11221100221110 is 1112200112211.

It is a happy number.

11221100221110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11221100221110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128776177 + ... + 128863283.

It is an arithmetic number, because the mean of its divisors is an integer number (228331061028).

Almost surely, 211221100221110 is an apocalyptic number.

11221100221110 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 11221100221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613187905792).

11221100221110 is an abundant number, since it is smaller than the sum of its proper divisors (18005275590474).

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

11221100221110 is a wasteful number, since it uses less digits than its factorization.

11221100221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89678.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11221100221110 its reverse (1112200112211), we get a palindrome (12333300333321).

The spelling of 11221100221110 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 137 195 274 390 411 685 822 1370 1781 2055 2411 3562 4110 4822 5343 7233 8905 10686 12055 14466 17810 24110 26715 31343 36165 53430 62686 72330 87107 94029 156715 174214 188058 261321 313430 330307 435535 470145 522642 660614 871070 940290 990921 1132391 1306605 1651535 1981842 2264782 2613210 3303070 3397173 4293991 4954605 5661955 6794346 8587982 9909210 11323910 11933659 12881973 16985865 21469955 23867318 25763946 33971730 35800977 42939910 59668295 64409865 71601954 119336590 128819730 155137567 179004885 210014977 310275134 358009770 420029954 465412701 630044931 775687835 930825402 1050074885 1260089862 1551375670 2100149770 2327063505 2730194701 3150224655 4654127010 5460389402 6300449310 8190584103 13650973505 16381168206 27301947010 28772051849 40952920515 57544103698 81905841030 86316155547 143860259245 172632311094 287720518490 374036674037 431580777735 748073348074 863161555470 1122110022111 1870183370185 2244220044222 3740366740370 5610550110555 11221100221110