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210112110220 = 225232926096037
BaseRepresentation
bin1100001110101110101…
…0000101111010001100
3202002100002000002221011
43003223222011322030
511420302200011340
6240305115415004
721115526316625
oct3035352057214
9662302002834
10210112110220
1181120899291
123487a154464
1316a7630034c
14a2530a8a4c
1556eb0ca0ea
hex30eba85e8c

210112110220 has 96 divisors (see below), whose sum is σ = 476557603200. Its totient is φ = 77576024064.

The previous prime is 210112110211. The next prime is 210112110227. The reversal of 210112110220 is 22011211012.

210112110220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2101121102202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210112110220.

It is not an unprimeable number, because it can be changed into a prime (210112110227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34801042 + ... + 34807078.

It is an arithmetic number, because the mean of its divisors is an integer number (4964141700).

Almost surely, 2210112110220 is an apocalyptic number.

210112110220 is a gapful number since it is divisible by the number (20) 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 210112110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238278801600).

210112110220 is an abundant number, since it is smaller than the sum of its proper divisors (266445492980).

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

210112110220 is a wasteful number, since it uses less digits than its factorization.

210112110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210112110220 its reverse (22011211012), we get a palindrome (232123321232).

The spelling of 210112110220 in words is "two hundred ten billion, one hundred twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2609 2668 3335 5218 6037 6670 10436 12074 13045 13340 24148 26090 30185 52180 60007 60370 75661 120014 120740 138851 151322 175073 240028 277702 300035 302644 350146 378305 555404 600070 694255 700292 756610 875365 1200140 1388510 1513220 1740203 1750730 2777020 3480406 3501460 4026679 6960812 8053358 8701015 15750533 16106716 17402030 20133395 31501066 34804060 40266790 63002132 78752665 80533580 157505330 315010660 362262259 456765457 724524518 913530914 1449049036 1811311295 1827061828 2283827285 3622622590 4567654570 7245245180 9135309140 10505605511 21011211022 42022422044 52528027555 105056055110 210112110220