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21110040300 = 22352791018819
BaseRepresentation
bin10011101010010000…
…011010011011101100
32000111012021011021110
4103222100122123230
5321213132242200
613410421232020
71345061244666
oct235220323354
960435234243
1021110040300
118a530817a8
124111862610
131cb566260b
1410438b9536
15838436b50
hex4ea41a6ec

21110040300 has 144 divisors (see below), whose sum is σ = 62471001600. Its totient is φ = 5502432000.

The previous prime is 21110040299. The next prime is 21110040323. The reversal of 21110040300 is 304001112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2389291 + ... + 2398109.

It is an arithmetic number, because the mean of its divisors is an integer number (433826400).

Almost surely, 221110040300 is an apocalyptic number.

21110040300 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 21110040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31235500800).

21110040300 is an abundant number, since it is smaller than the sum of its proper divisors (41360961300).

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

21110040300 is a wasteful number, since it uses less digits than its factorization.

21110040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9016 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21110040300 its reverse (304001112), we get a palindrome (21414041412).

The spelling of 21110040300 in words is "twenty-one billion, one hundred ten million, forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 101 150 158 202 237 300 303 316 395 404 474 505 606 790 948 1010 1185 1212 1515 1580 1975 2020 2370 2525 3030 3950 4740 5050 5925 6060 7575 7900 7979 8819 10100 11850 15150 15958 17638 23700 23937 26457 30300 31916 35276 39895 44095 47874 52914 79790 88190 95748 105828 119685 132285 159580 176380 199475 220475 239370 264570 398950 440950 478740 529140 598425 661425 696701 797900 881900 890719 1196850 1322850 1393402 1781438 2090103 2393700 2645700 2672157 2786804 3483505 3562876 4180206 4453595 5344314 6967010 8360412 8907190 10450515 10688628 13360785 13934020 17417525 17814380 20901030 22267975 26721570 34835050 41802060 44535950 52252575 53443140 66803925 69670100 70366801 89071900 104505150 133607850 140733602 209010300 211100403 267215700 281467204 351834005 422200806 703668010 844401612 1055502015 1407336020 1759170025 2111004030 3518340050 4222008060 5277510075 7036680100 10555020150 21110040300