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11101201110 = 23251759912113
BaseRepresentation
bin10100101011010111…
…01110001011010110
31001122122212110001200
422111223232023112
5140213401413420
65033321133330
7542045436546
oct122553561326
931578773050
1011101201110
11478737a77a
12219992a246
13107bb9ba6c
147744d5326
1544e8ceb90
hex295aee2d6

11101201110 has 96 divisors (see below), whose sum is σ = 30614500800. Its totient is φ = 2781302784.

The previous prime is 11101201103. The next prime is 11101201129. The reversal of 11101201110 is 1110210111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11101201092 and 11101201101.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 910414 + ... + 922526.

It is an arithmetic number, because the mean of its divisors is an integer number (318901050).

Almost surely, 211101201110 is an apocalyptic number.

11101201110 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 11101201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307250400).

11101201110 is an abundant number, since it is smaller than the sum of its proper divisors (19513299690).

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

11101201110 is a wasteful number, since it uses less digits than its factorization.

11101201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12742 (or 12739 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101201110 its reverse (1110210111), we get a palindrome (12211411221).

Subtracting from 11101201110 its reverse (1110210111), we obtain a palindrome (9990990999).

The spelling of 11101201110 in words is "eleven billion, one hundred one million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 599 765 1198 1530 1797 2995 3594 5391 5990 8985 10183 10782 12113 17970 20366 24226 26955 30549 36339 50915 53910 60565 61098 72678 91647 101830 109017 121130 152745 181695 183294 205921 218034 305490 363390 411842 458235 545085 617763 916470 1029605 1090170 1235526 1853289 2059210 3088815 3706578 6177630 7255687 9266445 14511374 18532890 21767061 36278435 43534122 65301183 72556870 108835305 123346679 130602366 217670610 246693358 326505915 370040037 616733395 653011830 740080074 1110120111 1233466790 1850200185 2220240222 3700400370 5550600555 11101201110