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11000111110110 = 2325107211225657
BaseRepresentation
bin1010000000010010100110…
…1101110001011111011110
31102221121012122201122201200
42200010221231301133132
52420211211421010420
635221214205020330
72213506002460443
oct240045155613736
942847178648650
1011000111110110
113561136a49651
121297a8ab546a6
1361a3c9457795
142a05a02199ca
15141211305b90
hexa0129b717de

11000111110110 has 144 divisors (see below), whose sum is σ = 29006173383408. Its totient is φ = 2892063363840.

The previous prime is 11000111110103. The next prime is 11000111110133. The reversal of 11000111110110 is 1101111100011.

11000111110110 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000111110092 and 11000111110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428724402 + ... + 428750058.

It is an arithmetic number, because the mean of its divisors is an integer number (201431759607).

Almost surely, 211000111110110 is an apocalyptic number.

11000111110110 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 11000111110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503086691704).

11000111110110 is an abundant number, since it is smaller than the sum of its proper divisors (18006062273298).

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

11000111110110 is a wasteful number, since it uses less digits than its factorization.

11000111110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26199 (or 25985 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11000111110110 its reverse (1101111100011), we get a palindrome (12101222210121).

The spelling of 11000111110110 in words is "eleven trillion, one hundred eleven million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 211 214 321 422 535 633 642 963 1055 1070 1266 1605 1899 1926 2110 3165 3210 3798 4815 6330 9495 9630 18990 22577 25657 44521 45154 51314 67731 76971 89042 112885 128285 133563 135462 153942 203193 222605 225770 230913 256570 267126 338655 384855 400689 406386 445210 461826 667815 677310 769710 801378 1015965 1154565 1335630 2003445 2031930 2309130 2745299 4006890 4763747 5413627 5490598 8235897 9527494 10827254 13726495 14291241 16240881 16471794 23818735 24707691 27068135 27452990 28582482 32481762 41179485 42873723 47637470 48722643 49415382 54136270 71456205 81204405 82358970 85747446 97445286 123538455 142912410 162408810 214368615 243613215 247076910 428737230 487226430 579258089 1142275297 1158516178 1737774267 2284550594 2896290445 3426825891 3475548534 5213322801 5711376485 5792580890 6853651782 8688871335 10280477673 10426645602 11422752970 17134129455 17377742670 20560955346 26066614005 34268258910 51402388365 52133228010 102804776730 122223456779 244446913558 366670370337 611117283895 733340740674 1100011111011 1222234567790 1833351851685 2200022222022 3666703703370 5500055555055 11000111110110