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20211022300 = 22527235921277
BaseRepresentation
bin10010110100101010…
…111011100111011100
31221011112121022102111
4102310222323213130
5312343010203200
613141304203404
71313563566160
oct226452734734
957145538374
1020211022300
118631660217
123b00769564
131ba1320bc1
14d9a336ca0
157d45510ba
hex4b4abb9dc

20211022300 has 144 divisors (see below), whose sum is σ = 53191595520. Its totient is φ = 6515562240.

The previous prime is 20211022289. The next prime is 20211022309. The reversal of 20211022300 is 322011202.

It is a super-2 number, since 2×202110223002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211022309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939262 + ... + 960538.

It is an arithmetic number, because the mean of its divisors is an integer number (369386080).

Almost surely, 220211022300 is an apocalyptic number.

20211022300 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 20211022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26595797760).

20211022300 is an abundant number, since it is smaller than the sum of its proper divisors (32980573220).

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

20211022300 is a wasteful number, since it uses less digits than its factorization.

20211022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21380 (or 21373 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20211022300 its reverse (322011202), we get a palindrome (20533033502).

The spelling of 20211022300 in words is "twenty billion, two hundred eleven million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 59 70 92 100 115 118 140 161 175 230 236 295 322 350 413 460 575 590 644 700 805 826 1150 1180 1357 1475 1610 1652 2065 2300 2714 2950 3220 4025 4130 5428 5900 6785 8050 8260 9499 10325 13570 16100 18998 20650 21277 27140 33925 37996 41300 42554 47495 67850 85108 94990 106385 135700 148939 189980 212770 237475 297878 425540 474950 489371 531925 595756 744695 949900 978742 1063850 1255343 1489390 1957484 2127700 2446855 2510686 2978780 3425597 3723475 4893710 5021372 6276715 6851194 7446950 8787401 9787420 12234275 12553430 13702388 14893900 17127985 17574802 24468550 25106860 28872889 31383575 34255970 35149604 43937005 48937100 57745778 62767150 68511940 85639925 87874010 115491556 125534300 144364445 171279850 175748020 202110223 219685025 288728890 342559700 404220446 439370050 577457780 721822225 808440892 878740100 1010551115 1443644450 2021102230 2887288900 4042204460 5052755575 10105511150 20211022300