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11201020020 = 22325388916001
BaseRepresentation
bin10100110111010001…
…00000000001110100
31001220121200202212100
422123220200001310
5140414430120040
65051244422100
7544400046021
oct123350400164
931817622770
1011201020020
114828758143
122207247930
13109677acc8
1478387a548
1545854ab30
hex29ba20074

11201020020 has 72 divisors (see below), whose sum is σ = 33987287880. Its totient is φ = 2985984000.

The previous prime is 11201020007. The next prime is 11201020043. The reversal of 11201020020 is 2002010211.

It can be written as a sum of positive squares in 4 ways, for example, as 3910251024 + 7290768996 = 62532^2 + 85386^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11201019984 and 11201020011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692020 + ... + 708020.

It is an arithmetic number, because the mean of its divisors is an integer number (472045665).

Almost surely, 211201020020 is an apocalyptic number.

11201020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201020020 is an abundant number, since it is smaller than the sum of its proper divisors (22786267860).

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

11201020020 is a wasteful number, since it uses less digits than its factorization.

11201020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19905 (or 19900 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11201020020 its reverse (2002010211), we get a palindrome (13203030231).

The spelling of 11201020020 in words is "eleven billion, two hundred one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3889 7778 11667 15556 16001 19445 23334 32002 35001 38890 46668 48003 58335 64004 70002 77780 80005 96006 116670 140004 144009 160010 175005 192012 233340 240015 288018 320020 350010 480030 576036 700020 720045 960060 1440090 2880180 62227889 124455778 186683667 248911556 311139445 373367334 560051001 622278890 746734668 933418335 1120102002 1244557780 1866836670 2240204004 2800255005 3733673340 5600510010 11201020020