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11001101000110 = 251333167324001
BaseRepresentation
bin1010000000010110010010…
…1101111001110110101110
31102221200202122101021112021
42200011210231321312232
52420220223324000420
635221500325500354
72213542352423224
oct240054455716656
942850678337467
1011001101000110
1135615a4797661
1212981065716ba
1361a526565000
142a0655894b14
1514126d18b7aa
hexa0164b79dae

11001101000110 has 128 divisors (see below), whose sum is σ = 22177202826240. Its totient is φ = 3924910080000.

The previous prime is 11001101000023. The next prime is 11001101000119. The reversal of 11001101000110 is 1100010110011.

It is a happy number.

11001101000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11001101000093 and 11001101000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001101000119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458348110 + ... + 458372110.

It is an arithmetic number, because the mean of its divisors is an integer number (173259397080).

Almost surely, 211001101000110 is an apocalyptic number.

11001101000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11001101000110 is an abundant number, since it is smaller than the sum of its proper divisors (11176101826130).

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

11001101000110 is a wasteful number, since it uses less digits than its factorization.

11001101000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24751 (or 24725 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11001101000110 its reverse (1100010110011), we get a palindrome (12101111110121).

The spelling of 11001101000110 in words is "eleven trillion, one billion, one hundred one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 13 26 31 62 65 130 155 169 310 338 403 673 806 845 1346 1690 2015 2197 3365 4030 4394 5239 6730 8749 10478 10985 17498 20863 21970 24001 26195 41726 43745 48002 52390 68107 87490 104315 113737 120005 136214 208630 227474 240010 271219 312013 340535 542438 568685 624026 681070 744031 1137370 1356095 1478581 1488062 1560065 2712190 2957162 3120130 3525847 3720155 4056169 7051694 7392905 7440310 8112338 9672403 14785810 16152673 17629235 19344806 20280845 32305346 35258470 40561690 45836011 48362015 52730197 80763365 91672022 96724030 105460394 125741239 161526730 209984749 229180055 251482478 263650985 419969498 458360110 500732863 527301970 628706195 1001465726 1049923745 1257412390 1634636107 2099847490 2503664315 2729801737 3269272214 5007328630 5459603474 6509527219 8173180535 13019054438 13649008685 16346361070 27298017370 32547636095 35487422581 65095272190 70974845162 84623853847 169247707694 177437112905 354874225810 423119269235 846238538470 1100110100011 2200220200022 5500550500055 11001101000110