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20000112100 = 22524712493407
BaseRepresentation
bin10010101000000110…
…010111110111100100
31220121211201222000121
4102220012113313210
5311430012041400
613104331451324
71305423101503
oct225006276744
956554658017
1020000112100
1185335a6271
123a61bb6b44
131b69716977
14d7a31483a
157c0c8e21a
hex4a8197de4

20000112100 has 72 divisors (see below), whose sum is σ = 44372160000. Its totient is φ = 7821265920.

The previous prime is 20000112091. The next prime is 20000112107. The reversal of 20000112100 is 121100002.

It is not an unprimeable number, because it can be changed into a prime (20000112107) 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 23 ways as a sum of consecutive naturals, for example, 5868597 + ... + 5872003.

It is an arithmetic number, because the mean of its divisors is an integer number (616280000).

Almost surely, 220000112100 is an apocalyptic number.

20000112100 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 20000112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22186080000).

20000112100 is an abundant number, since it is smaller than the sum of its proper divisors (24372047900).

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

20000112100 is a wasteful number, since it uses less digits than its factorization.

20000112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20000112100 its reverse (121100002), we get a palindrome (20121212102).

The spelling of 20000112100 in words is "twenty billion, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 1249 2350 2498 3407 4700 4996 6245 6814 12490 13628 17035 24980 31225 34070 58703 62450 68140 85175 117406 124900 160129 170350 234812 293515 320258 340700 587030 640516 800645 1174060 1467575 1601290 2935150 3202580 4003225 4255343 5870300 8006450 8510686 16012900 17021372 21276715 42553430 85106860 106383575 200001121 212767150 400002242 425534300 800004484 1000005605 2000011210 4000022420 5000028025 10000056050 20000112100