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21201222220002 = 23211237713705467
BaseRepresentation
bin1001101001000010010110…
…10100011011100011100010
32210001211001121222211021200
410310201023110123203202
510234330100342020002
6113031412415102030
74315511023306356
oct464411324334342
983054047884250
1021201222220002
11683442a257100
122464b32511916
13baa360b72936
14534204c1b466
1526b75beeab1c
hex13484b51b8e2

21201222220002 has 144 divisors (see below), whose sum is σ = 52586638243776. Its totient is φ = 6162931051200.

The previous prime is 21201222219941. The next prime is 21201222220141. The reversal of 21201222220002 is 20002222210212.

21201222220002 is a `hidden beast` number, since 21 + 201 + 222 + 220 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3868873 + ... + 7574339.

It is an arithmetic number, because the mean of its divisors is an integer number (365184987804).

Almost surely, 221201222220002 is an apocalyptic number.

21201222220002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201222220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26293319121888).

21201222220002 is an abundant number, since it is smaller than the sum of its proper divisors (31385416023774).

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

21201222220002 is a wasteful number, since it uses less digits than its factorization.

21201222220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705605 (or 3705591 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21201222220002 its reverse (20002222210212), we get a palindrome (41203444430214).

The spelling of 21201222220002 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 71 74 99 111 121 142 198 213 222 242 333 363 407 426 639 666 726 781 814 1089 1221 1278 1562 2178 2343 2442 2627 3663 4477 4686 5254 7029 7326 7881 8591 8954 13431 14058 15762 17182 23643 25773 26862 28897 40293 47286 51546 57794 77319 80586 86691 154638 173382 260073 317867 520146 635734 953601 1907202 2860803 3705467 5721606 7410934 11116401 22232802 33349203 40760137 66698406 81520274 122280411 137102279 244560822 263088157 274204558 366841233 411306837 448361507 526176314 733682466 789264471 822613674 896723014 1233920511 1345084521 1508125069 1578528942 2367793413 2467841022 2690169042 2893969727 3016250138 4035253563 4524375207 4735586826 5787939454 8070507126 8681909181 9048750414 9734261809 13573125621 16589375759 17363818362 19468523618 26045727543 27146251242 29202785427 31833666997 33178751518 49768127277 52091455086 58405570854 63667333994 87608356281 95501000991 99536254554 107076879899 149304381831 175216712562 191002001982 214153759798 286503002973 298608763662 321230639697 573006005946 642461279394 963691919091 1177845678889 1927383838182 2355691357778 3533537036667 7067074073334 10600611110001 21201222220002