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21000002200002 = 2327592139344453
BaseRepresentation
bin1001100011001011100011…
…01010111110000111000010
32202100120200021000200222100
410301211301222332013002
510223031001030400002
6112355133503451230
74265125426332630
oct461456152760702
982316607020870
1021000002200002
116767061855911
122431b362b6b16
13b943a3b6ca47
14528596ab8350
152663d18d411c
hex131971abe1c2

21000002200002 has 144 divisors (see below), whose sum is σ = 53277003299520. Its totient is φ = 5855854848192.

The previous prime is 21000002199997. The next prime is 21000002200033. The reversal of 21000002200002 is 20000220000012.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 60794008 + ... + 61138460.

It is an arithmetic number, because the mean of its divisors is an integer number (369979189580).

Almost surely, 221000002200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000002200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26638501649760).

21000002200002 is an abundant number, since it is smaller than the sum of its proper divisors (32277001099518).

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

21000002200002 is a wasteful number, since it uses less digits than its factorization.

21000002200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344725 (or 344663 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 21000002200002 its reverse (20000220000012), we get a palindrome (41000222200014).

The spelling of 21000002200002 in words is "twenty-one trillion, two million, two hundred thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 139 177 278 354 413 417 531 826 834 973 1062 1239 1251 1946 2478 2502 2919 3481 3717 5838 6962 7434 8201 8757 10443 16402 17514 20886 24367 24603 31329 48734 49206 57407 62658 73101 73809 114814 146202 147618 172221 219303 344442 344453 438606 483859 516663 688906 967718 1033326 1033359 1451577 2066718 2411171 2903154 3100077 3387013 4354731 4822342 6200154 6774026 7233513 8709462 10161039 14467026 20322078 20322727 21700539 30483117 40645454 43401078 47878967 60966234 60968181 95757934 121936362 142259089 143636901 182904543 284518178 287273802 335152769 365809086 426777267 430910703 670305538 853554534 861821406 1005458307 1199040893 1280331801 2010916614 2398081786 2560663602 2824859053 3016374921 3597122679 5649718106 6032749842 7194245358 8393286251 8474577159 10791368037 16786572502 16949154318 19774013371 21582736074 25179858753 25423731477 39548026742 50359717506 50847462954 59322040113 75539576259 118644080226 151079152518 166666684127 177966120339 333333368254 355932240678 500000052381 1000000104762 1166666788889 1500000157143 2333333577778 3000000314286 3500000366667 7000000733334 10500001100001 21000002200002