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11200000210110 = 2325892131119929
BaseRepresentation
bin1010001011111011010000…
…0010001011010010111110
31110122201011021100001000200
42202332310002023102332
52432000100023210420
635453113054104330
72234113306004025
oct242766402132276
943581137301020
1011200000210110
113628991153a58
12130a7754ab0a6
136332037b7a4a
142aa1236ad8bc
1514650eb70b90
hexa2fb408b4be

11200000210110 has 144 divisors (see below), whose sum is σ = 29675931096240. Its totient is φ = 2930541419520.

The previous prime is 11200000210043. The next prime is 11200000210151. The reversal of 11200000210110 is 1101200000211.

It is a happy number.

11200000210110 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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11200000210092 and 11200000210101.

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, 93328626 + ... + 93448554.

It is an arithmetic number, because the mean of its divisors is an integer number (206082854835).

Almost surely, 211200000210110 is an apocalyptic number.

11200000210110 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 11200000210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837965548120).

11200000210110 is an abundant number, since it is smaller than the sum of its proper divisors (18475930886130).

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

11200000210110 is a wasteful number, since it uses less digits than its factorization.

11200000210110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120251 (or 120159 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11200000210110 its reverse (1101200000211), we get a palindrome (12301200210321).

The spelling of 11200000210110 in words is "eleven trillion, two hundred billion, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 131 178 262 267 393 445 534 655 786 801 890 1179 1310 1335 1602 1965 2358 2670 3930 4005 5895 7921 8010 11659 11790 15842 23318 23763 34977 39605 47526 58295 69954 71289 79210 104931 116590 118815 119929 142578 174885 209862 237630 239858 349770 356445 359787 524655 599645 712890 719574 1037651 1049310 1079361 1199290 1798935 2075302 2158722 3112953 3597870 5188255 5396805 6225906 9338859 10376510 10673681 10793610 15564765 15710699 18677718 21347362 31129530 31421398 32021043 46694295 47132097 53368405 64042086 78553495 93388590 94264194 96063129 106736810 141396291 157106990 160105215 192126258 235660485 282792582 320210430 471320970 480315645 706981455 949957609 960631290 1398252211 1413962910 1899915218 2796504422 2849872827 4194756633 4749788045 5699745654 6991261055 8389513266 8549618481 9499576090 12584269899 13982522110 14249364135 17099236962 20973783165 25168539798 28498728270 41947566330 42748092405 62921349495 85496184810 124444446779 125842698990 248888893558 373333340337 622222233895 746666680674 1120000021011 1244444467790 1866666701685 2240000042022 3733333403370 5600000105055 11200000210110