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20011101200 = 2452172942809
BaseRepresentation
bin10010101000110000…
…010010110000010000
31220122121102021020022
4102220300102300100
5311440320214300
613105403203012
71305615360626
oct225060226020
956577367208
1020011101200
118539821572
123a65816468
131b6ba937ac
14d7b975516
157c1c10285
hex4a8c12c10

20011101200 has 60 divisors (see below), whose sum is σ = 50904727380. Its totient is φ = 7533588480.

The previous prime is 20011101193. The next prime is 20011101203. The reversal of 20011101200 is 210111002.

It can be written as a sum of positive squares in 6 ways, for example, as 750102544 + 19260998656 = 27388^2 + 138784^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (20011101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1464605 + ... + 1478204.

It is an arithmetic number, because the mean of its divisors is an integer number (848412123).

Almost surely, 220011101200 is an apocalyptic number.

20011101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011101200 is an abundant number, since it is smaller than the sum of its proper divisors (30893626180).

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

20011101200 is a wasteful number, since it uses less digits than its factorization.

20011101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942844 (or 2942833 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20011101200 its reverse (210111002), we get a palindrome (20221212202).

The spelling of 20011101200 in words is "twenty billion, eleven million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 2942809 5885618 11771236 14714045 23542472 29428090 47084944 50027753 58856180 73570225 100055506 117712360 147140450 200111012 235424720 250138765 294280900 400222024 500277530 588561800 800444048 1000555060 1177123600 1250693825 2001110120 2501387650 4002220240 5002775300 10005550600 20011101200