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21011222021200 = 24521011463935527
BaseRepresentation
bin1001100011100000011100…
…11011001100010001010000
32202101122122012002200012121
410301300032123030101100
510223221440314134300
6112404231103304024
74266003445255615
oct461601633142120
982348565080177
1021011222021200
11677089a084614
1224341478ab014
13b954714a15b8
14528d3cc4a50c
1526683b8e581a
hex131c0e6cc450

21011222021200 has 120 divisors (see below), whose sum is σ = 50984175018240. Its totient is φ = 8320473408000.

The previous prime is 21011222021189. The next prime is 21011222021219. The reversal of 21011222021200 is 212022211012.

It is a happy number.

21011222021200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591397837 + ... + 591433363.

It is an arithmetic number, because the mean of its divisors is an integer number (424868125152).

Almost surely, 221011222021200 is an apocalyptic number.

21011222021200 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 21011222021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25492087509120).

21011222021200 is an abundant number, since it is smaller than the sum of its proper divisors (29972952997040).

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

21011222021200 is a wasteful number, since it uses less digits than its factorization.

21011222021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50285 (or 50274 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21011222021200 its reverse (212022211012), we get a palindrome (21223244232212).

The spelling of 21011222021200 in words is "twenty-one trillion, eleven billion, two hundred twenty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 14639 20200 29278 35527 40400 58556 71054 73195 117112 142108 146390 177635 234224 284216 292780 355270 365975 568432 585560 710540 731950 888175 1171120 1421080 1463900 1478539 1776350 2842160 2927800 2957078 3552700 3588227 5855600 5914156 7105400 7176454 7392695 11828312 14210800 14352908 14785390 17941135 23656624 28705816 29570780 35882270 36963475 57411632 59141560 71764540 73926950 89705675 118283120 143529080 147853900 179411350 287058160 295707800 358822700 520079753 591415600 717645400 1040159506 1435290800 2080319012 2600398765 4160638024 5200797530 8321276048 10401595060 13001993825 20803190120 26003987650 41606380240 52007975300 52528055053 104015950600 105056110106 208031901200 210112220212 262640275265 420224440424 525280550530 840448880848 1050561101060 1313201376325 2101122202120 2626402752650 4202244404240 5252805505300 10505611010600 21011222021200