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20111201020 = 2253161643827
BaseRepresentation
bin10010101110101110…
…001001001011111100
31220220120202212101001
4102232232021023330
5312141431413040
613123340500044
71311242250061
oct225656111374
956816685331
1020111201020
118590280a99
123a9324a624
131b86740861
14d8ad90c68
157ca8d459a
hex4aeb892fc

20111201020 has 96 divisors (see below), whose sum is σ = 44433156096. Its totient is φ = 7636204800.

The previous prime is 20111201009. The next prime is 20111201027. The reversal of 20111201020 is 2010211102.

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 = 20111200988 and 20111201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111201027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24317847 + ... + 24318673.

It is an arithmetic number, because the mean of its divisors is an integer number (462845376).

Almost surely, 220111201020 is an apocalyptic number.

20111201020 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 20111201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22216578048).

20111201020 is an abundant number, since it is smaller than the sum of its proper divisors (24321955076).

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

20111201020 is a wasteful number, since it uses less digits than its factorization.

20111201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20111201020 its reverse (2010211102), we get a palindrome (22121412122).

The spelling of 20111201020 in words is "twenty billion, one hundred eleven million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 305 310 610 620 643 827 1220 1286 1654 1891 2572 3215 3308 3782 4135 6430 7564 8270 9455 12860 16540 18910 19933 25637 37820 39223 39866 50447 51274 78446 79732 99665 100894 102548 128185 156892 196115 199330 201788 252235 256370 392230 398660 504470 512740 531761 784460 1008940 1063522 1215913 1563857 2127044 2431826 2658805 3127714 4863652 5317610 6079565 6255428 7819285 10635220 12159130 15638570 16484591 24318260 31277140 32437421 32969182 64874842 65938364 82422955 129749684 162187105 164845910 324374210 329691820 648748420 1005560051 2011120102 4022240204 5027800255 10055600510 20111201020