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11105050105086 = 2372431547160217
BaseRepresentation
bin1010000110011001100010…
…0100010001010011111110
31110022122002000221221101020
42201212120210101103332
52423421120311330321
635341331203525010
72224212331302300
oct241463044212376
943278060857336
1011105050105086
1135a1697304783
1212b4296989766
13627281286552
142a56b71bb970
15143d03e464c6
hexa19989114fe

11105050105086 has 96 divisors (see below), whose sum is σ = 25943688018432. Its totient is φ = 3159703048320.

The previous prime is 11105050105057. The next prime is 11105050105129. The reversal of 11105050105086 is 68050105050111.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69232450 + ... + 69392666.

It is an arithmetic number, because the mean of its divisors is an integer number (270246750192).

Almost surely, 211105050105086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105050105086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971844009216).

11105050105086 is an abundant number, since it is smaller than the sum of its proper divisors (14838637913346).

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

11105050105086 is a wasteful number, since it uses less digits than its factorization.

11105050105086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161214 (or 161207 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 33.

Adding to 11105050105086 its reverse (68050105050111), we get a palindrome (79155155155197).

The spelling of 11105050105086 in words is "eleven trillion, one hundred five billion, fifty million, one hundred five thousand, eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 431 547 862 1094 1293 1641 2586 3017 3282 3829 6034 7658 9051 11487 18102 21119 22974 26803 42238 53606 63357 80409 126714 160217 160818 235757 320434 471514 480651 707271 961302 1121519 1414542 1650299 2243038 3300598 3364557 4950897 6729114 7850633 9901794 11552093 15701266 23104186 23551899 34656279 47103798 69053527 69312558 87638699 138107054 175277398 207160581 262916097 414321162 483374689 525832194 613470893 966749378 1226941786 1450124067 1840412679 2900248134 3383622823 3680825358 4294296251 6767245646 8588592502 10150868469 12882888753 20301736938 25765777506 37772279269 75544558538 113316837807 226633675614 264405954883 528811909766 793217864649 1586435729298 1850841684181 3701683368362 5552525052543 11105050105086