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211110000220 = 225729139374083
BaseRepresentation
bin1100010010011100100…
…0101111011001011100
3202011220121201011200001
43010213020233121130
511424323130001340
6240552123544044
721152334252130
oct3044710573134
9664817634601
10211110000220
1181593100869
1234ab838b024
1316ba4c7bcc2
14a3098273c0
1557589e129a
hex312722f65c

211110000220 has 96 divisors (see below), whose sum is σ = 527907340800. Its totient is φ = 69381736704.

The previous prime is 211110000187. The next prime is 211110000229. The reversal of 211110000220 is 22000011112.

211110000220 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 211110000197 and 211110000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211110000229) 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, 377299 + ... + 751381.

It is an arithmetic number, because the mean of its divisors is an integer number (5499034800).

Almost surely, 2211110000220 is an apocalyptic number.

211110000220 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 211110000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263953670400).

211110000220 is an abundant number, since it is smaller than the sum of its proper divisors (316797340580).

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

211110000220 is a wasteful number, since it uses less digits than its factorization.

211110000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374267 (or 374265 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211110000220 its reverse (22000011112), we get a palindrome (233110011332).

The spelling of 211110000220 in words is "two hundred eleven billion, one hundred ten million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 139 140 145 203 278 290 406 556 580 695 812 973 1015 1390 1946 2030 2780 3892 4031 4060 4865 8062 9730 16124 19460 20155 28217 40310 56434 80620 112868 141085 282170 374083 564340 748166 1496332 1870415 2618581 3740830 5237162 7481660 10474324 10848407 13092905 21696814 26185810 43393628 51997537 52371620 54242035 75938849 103995074 108484070 151877698 207990148 216968140 259987685 303755396 363982759 379694245 519975370 727965518 759388490 1039950740 1455931036 1507928573 1518776980 1819913795 3015857146 3639827590 6031714292 7279655180 7539642865 10555500011 15079285730 21111000022 30158571460 42222000044 52777500055 105555000110 211110000220