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20321222020 = 225111793311559
BaseRepresentation
bin10010111011001111…
…010011110110000100
31221110012222001000121
4102323033103312010
5313104213101040
613200242151324
71316402352151
oct227317236604
957405861017
1020321222020
118688888970
123b31652544
131bbb0c6138
14daac21228
157de06cc4a
hex4bb3d3d84

20321222020 has 96 divisors (see below), whose sum is σ = 46985702400. Its totient is φ = 7321353600.

The previous prime is 20321222011. The next prime is 20321222023. The reversal of 20321222020 is 2022212302.

It is a super-2 number, since 2×203212220202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20321221985 and 20321222003.

It is not an unprimeable number, because it can be changed into a prime (20321222023) 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, 13034001 + ... + 13035559.

It is an arithmetic number, because the mean of its divisors is an integer number (489434400).

Almost surely, 220321222020 is an apocalyptic number.

20321222020 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 20321222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23492851200).

20321222020 is an abundant number, since it is smaller than the sum of its proper divisors (26664480380).

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

20321222020 is a wasteful number, since it uses less digits than its factorization.

20321222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20321222020 its reverse (2022212302), we get a palindrome (22343434322).

The spelling of 20321222020 in words is "twenty billion, three hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 331 358 662 716 895 1324 1559 1655 1790 1969 3118 3310 3580 3641 3938 6236 6620 7282 7795 7876 9845 14564 15590 17149 18205 19690 31180 34298 36410 39380 59249 68596 72820 85745 118498 171490 236996 279061 296245 342980 516029 558122 592490 651739 1032058 1116244 1184980 1303478 1395305 2064116 2580145 2606956 2790610 3069671 3258695 5160290 5581220 5676319 6139342 6517390 10320580 11352638 12278684 13034780 15348355 22705276 28381595 30696710 56763190 61393420 92369191 113526380 184738382 369476764 461845955 923691910 1016061101 1847383820 2032122202 4064244404 5080305505 10160611010 20321222020