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21022220210200 = 23521130193165139
BaseRepresentation
bin1001100011110100111011…
…11101111101000000011000
32202102201000200010120012221
410301322131331331000120
510223412001333211300
6112413250304513424
74266543133316566
oct461723575750030
982381020116187
1021022220210200
116775523295810
1224362b701b874
13b96504c13841
145296a37a8a36
15266c8222831a
hex131e9df7d018

21022220210200 has 96 divisors (see below), whose sum is σ = 53337673224000. Its totient is φ = 7641909187200.

The previous prime is 21022220210197. The next prime is 21022220210219. The reversal of 21022220210200 is 201202222012.

It is a super-2 number, since 2×210222202102002 (a number of 27 digits) contains 22 as substring.

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, 5059231 + ... + 8224369.

It is an arithmetic number, because the mean of its divisors is an integer number (555600762750).

Almost surely, 221022220210200 is an apocalyptic number.

21022220210200 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 21022220210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26668836612000).

21022220210200 is an abundant number, since it is smaller than the sum of its proper divisors (32315453013800).

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

21022220210200 is a wasteful number, since it uses less digits than its factorization.

21022220210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168185 (or 3168176 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21022220210200 its reverse (201202222012), we get a palindrome (21223422432212).

The spelling of 21022220210200 in words is "twenty-one trillion, twenty-two billion, two hundred twenty million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 3019 6038 12076 15095 24152 30190 33209 60380 66418 75475 120760 132836 150950 166045 265672 301900 332090 603800 664180 830225 1328360 1660450 3165139 3320900 6330278 6641800 12660556 15825695 25321112 31651390 34816529 63302780 69633058 79128475 126605560 139266116 158256950 174082645 278532232 316513900 348165290 633027800 696330580 870413225 1392661160 1740826450 3481652900 6963305800 9555554641 19111109282 38222218564 47777773205 76444437128 95555546410 105111101051 191111092820 210222202102 238888866025 382222185640 420444404204 477777732050 525555505255 840888808408 955555464100 1051111010510 1911110928200 2102222021020 2627777526275 4204444042040 5255555052550 10511110105100 21022220210200