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110200240220 = 225721113672729
BaseRepresentation
bin110011010100001110…
…0100011100001011100
3101112110001012020022112
41212220130203201130
53301142230141340
6122343021333152
710650602405120
oct1465034434134
9345401166275
10110200240220
11428101875a4
1219435a071b8
13a512b39645
145495a29580
152cee99d065
hex19a872385c

110200240220 has 96 divisors (see below), whose sum is σ = 266025876480. Its totient is φ = 37562595840.

The previous prime is 110200240219. The next prime is 110200240223. The reversal of 110200240220 is 22042002011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110200240195 and 110200240204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110200240223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40379816 + ... + 40382544.

It is an arithmetic number, because the mean of its divisors is an integer number (2771102880).

Almost surely, 2110200240220 is an apocalyptic number.

110200240220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110200240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133012938240).

110200240220 is an abundant number, since it is smaller than the sum of its proper divisors (155825636260).

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

110200240220 is a wasteful number, since it uses less digits than its factorization.

110200240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 110200240220 its reverse (22042002011), we get a palindrome (132242242231).

The spelling of 110200240220 in words is "one hundred ten billion, two hundred million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1367 1477 2110 2729 2734 2954 4220 5458 5468 5908 6835 7385 9569 10916 13645 13670 14770 19103 19138 27290 27340 29540 38206 38276 47845 54580 76412 95515 95690 191030 191380 288437 382060 575819 576874 1151638 1153748 1442185 2019059 2303276 2879095 2884370 3730543 4030733 4038118 5758190 5768740 7461086 8061466 8076236 10095295 11516380 14922172 16122932 18652715 20153665 20190590 26113801 37305430 40307330 40381180 52227602 74610860 80614660 104455204 130569005 261138010 522276020 787144573 1574289146 3148578292 3935722865 5510012011 7871445730 11020024022 15742891460 22040048044 27550060055 55100120110 110200240220