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20000112220 = 22511739111367
BaseRepresentation
bin10010101000000110…
…010111111001011100
31220121211201222012001
4102220012113321130
5311430012042340
613104331452044
71305423102034
oct225006277134
956554658161
1020000112220
1185335a6370
123a61bb7024
131b69716a3a
14d7a3148c4
157c0c8e29a
hex4a8197e5c

20000112220 has 96 divisors (see below), whose sum is σ = 46531086336. Its totient is φ = 7160025600.

The previous prime is 20000112199. The next prime is 20000112229. The reversal of 20000112220 is 2221100002.

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 = 20000112197 and 20000112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000112229) 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, 14629977 + ... + 14631343.

It is an arithmetic number, because the mean of its divisors is an integer number (484698816).

Almost surely, 220000112220 is an apocalyptic number.

20000112220 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 20000112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23265543168).

20000112220 is an abundant number, since it is smaller than the sum of its proper divisors (26530974116).

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

20000112220 is a wasteful number, since it uses less digits than its factorization.

20000112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20000112220 its reverse (2221100002), we get a palindrome (22221212222).

The spelling of 20000112220 in words is "twenty billion, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 911 1367 1460 1606 1822 2734 3212 3644 4015 4555 5468 6835 8030 9110 10021 13670 15037 16060 18220 20042 27340 30074 40084 50105 60148 66503 75185 99791 100210 133006 150370 199582 200420 266012 300740 332515 399164 498955 665030 731533 997910 1097701 1245337 1330060 1463066 1995820 2195402 2490674 2926132 3657665 4390804 4981348 5488505 6226685 7315330 10977010 12453370 13698707 14630660 21954020 24906740 27397414 54794828 68493535 90909601 136987070 181819202 273974140 363638404 454548005 909096010 1000005611 1818192020 2000011222 4000022444 5000028055 10000056110 20000112220