Search a number
-
+
110220000220110 = 235116115493534803
BaseRepresentation
bin11001000011111010010111…
…111101011101001111001110
3112110020221002022202220210110
4121003322113331131033032
5103421321030024020420
61030230211420020450
732134063232525304
oct3103722775351716
9473227068686713
10110220000220110
1132135048770820
121044145b091726
1349669170444b1
141d30968364274
15cb211d947ee0
hex643e97f5d3ce

110220000220110 has 128 divisors (see below), whose sum is σ = 293496190041600. Its totient is φ = 26264992780800.

The previous prime is 110220000220093. The next prime is 110220000220207. The reversal of 110220000220110 is 11022000022011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29413969 + ... + 32948771.

It is an arithmetic number, because the mean of its divisors is an integer number (2292938984700).

Almost surely, 2110220000220110 is an apocalyptic number.

110220000220110 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 110220000220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146748095020800).

110220000220110 is an abundant number, since it is smaller than the sum of its proper divisors (183276189821490).

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

110220000220110 is a wasteful number, since it uses less digits than its factorization.

110220000220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536434.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110220000220110 its reverse (11022000022011), we get a palindrome (121242000242121).

The spelling of 110220000220110 in words is "one hundred ten trillion, two hundred twenty billion, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 671 915 1342 1549 1830 2013 3098 3355 4026 4647 6710 7745 9294 10065 15490 17039 20130 23235 34078 46470 51117 85195 94489 102234 170390 188978 255585 283467 472445 511170 566934 944890 1039379 1417335 2078758 2834670 3118137 3534803 5196895 6236274 7069606 10393790 10604409 15590685 17674015 21208818 31181370 35348030 38882833 53022045 77765666 106044090 116648499 194414165 215622983 233296998 388828330 431245966 583242495 646868949 1078114915 1166484990 1293737898 2156229830 2371852813 3234344745 4743705626 5475409847 6468689490 7115558439 10950819694 11859264065 14231116878 16426229541 23718528130 27377049235 32852459082 35577792195 54754098470 60229508317 71155584390 82131147705 120459016634 164262295410 180688524951 301147541585 334000000667 361377049902 602295083170 668000001334 903442624755 1002000002001 1670000003335 1806885249510 2004000004002 3340000006670 3674000007337 5010000010005 7348000014674 10020000020010 11022000022011 18370000036685 22044000044022 36740000073370 55110000110055 110220000220110