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21002210022200 = 23521133072886743
BaseRepresentation
bin1001100011001111101010…
…10001001001001100111000
32202100210101010102200122212
410301213311101021030320
510223100011231202300
6112400140533034252
74265234225451221
oct461476521111470
982323333380585
1021002210022200
116767a95038360
122432451785988
13b946663ac904
14528725dd0248
152664b0648935
hex1319f5449338

21002210022200 has 96 divisors (see below), whose sum is σ = 53285368268160. Its totient is φ = 7634855241600.

The previous prime is 21002210022181. The next prime is 21002210022251. The reversal of 21002210022200 is 222001220012.

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, 5832029 + ... + 8718771.

It is an arithmetic number, because the mean of its divisors is an integer number (555055919460).

Almost surely, 221002210022200 is an apocalyptic number.

21002210022200 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 21002210022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26642684134080).

21002210022200 is an abundant number, since it is smaller than the sum of its proper divisors (32283158245960).

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

21002210022200 is a wasteful number, since it uses less digits than its factorization.

21002210022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890077 (or 2890068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21002210022200 its reverse (222001220012), we get a palindrome (21224211242212).

The spelling of 21002210022200 in words is "twenty-one trillion, two billion, two hundred ten million, twenty-two 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 3307 6614 13228 16535 26456 33070 36377 66140 72754 82675 132280 145508 165350 181885 291016 330700 363770 661400 727540 909425 1455080 1818850 2886743 3637700 5773486 7275400 11546972 14433715 23093944 28867430 31754173 57734860 63508346 72168575 115469720 127016692 144337150 158770865 254033384 288674300 317541730 577348600 635083460 793854325 1270166920 1587708650 3175417300 6350834600 9546459101 19092918202 38185836404 47732295505 76371672808 95464591010 105011050111 190929182020 210022100222 238661477525 381858364040 420044200444 477322955050 525055250555 840088400888 954645910100 1050110501110 1909291820200 2100221002220 2625276252775 4200442004440 5250552505550 10501105011100 21002210022200