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20211102210020 = 22519233331968777
BaseRepresentation
bin1001001100001110000111…
…00100010101011111100100
32122120011101110111220011212
410212013003210111133210
510122114314131210040
6110552504023050552
74154126645140061
oct446070344253744
978504343456155
1020211102210020
116492531327a17
1223250692a0a58
13b37b8b765c47
144dc318a17c68
15250b0cd38d65
hex1261c39157e4

20211102210020 has 96 divisors (see below), whose sum is σ = 44883092217600. Its totient is φ = 7623664441344.

The previous prime is 20211102210011. The next prime is 20211102210059. The reversal of 20211102210020 is 2001220111202.

It is a junction number, because it is equal to n+sod(n) for n = 20211102209977 and 20211102210004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293829872 + ... + 293898648.

It is an arithmetic number, because the mean of its divisors is an integer number (467532210600).

Almost surely, 220211102210020 is an apocalyptic number.

20211102210020 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 20211102210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22441546108800).

20211102210020 is an abundant number, since it is smaller than the sum of its proper divisors (24671990007580).

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

20211102210020 is a wasteful number, since it uses less digits than its factorization.

20211102210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72357 (or 72355 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20211102210020 its reverse (2001220111202), we get a palindrome (22212322321222).

The spelling of 20211102210020 in words is "twenty trillion, two hundred eleven billion, one hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 233 380 466 932 1165 2330 3319 4427 4660 6638 8854 13276 16595 17708 22135 33190 44270 63061 66380 68777 88540 126122 137554 252244 275108 315305 343885 630610 687770 773327 1261220 1306763 1375540 1546654 2613526 3093308 3866635 5227052 6533815 7733270 13067630 14693213 15466540 16025041 26135260 29386426 32050082 58772852 64100164 73466065 80125205 146932130 160250410 228270863 293864260 304475779 320500820 456541726 608951558 913083452 1141354315 1217903116 1522378895 2282708630 3044757790 4337146397 4565417260 6089515580 8674292794 17348585588 21685731985 43371463970 53187111079 86742927940 106374222158 212748444316 265935555395 531871110790 1010555110501 1063742221580 2021110221002 4042220442004 5052775552505 10105551105010 20211102210020