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212121200011000 = 23537113177267749
BaseRepresentation
bin110000001110110001010000…
…110001101010011011111000
31000211001120220010220122111011
4300032301100301222123320
5210300343204200323000
62031051044540243304
762452152036405010
oct6016612061523370
91024046803818434
10212121200011000
11616521064662a5
121b95a614840534
139148c356622b7
143a54a1407cc40
15197cb5c4a42ba
hexc0ec50c6a6f8

212121200011000 has 128 divisors (see below), whose sum is σ = 567279825840000. Its totient is φ = 72726354355200.

The previous prime is 212121200010947. The next prime is 212121200011031. The reversal of 212121200011000 is 110002121212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792105126 + ... + 792372874.

It is an arithmetic number, because the mean of its divisors is an integer number (4431873639375).

Almost surely, 2212121200011000 is an apocalyptic number.

212121200011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121200011000 is an abundant number, since it is smaller than the sum of its proper divisors (355158625829000).

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

212121200011000 is a wasteful number, since it uses less digits than its factorization.

212121200011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380954 (or 380940 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212121200011000 its reverse (110002121212), we get a palindrome (212231202132212).

The spelling of 212121200011000 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 113177 226354 267749 452708 535498 565885 792239 905416 1070996 1131770 1338745 1584478 1874243 2141992 2263540 2677490 2829425 3168956 3748486 3961195 4527080 5354980 5658850 6337912 6693725 7496972 7922390 9371215 10709960 11317700 13387450 14147125 14993944 15844780 18742430 19805975 22635400 26774900 28294250 31689560 33468625 37484860 39611950 46856075 53549800 56588500 66937250 74969720 79223900 93712150 99029875 113177000 133874500 158447800 187424300 198059750 234280375 267749000 374848600 396119500 468560750 792239000 937121500 1874243000 30303028573 60606057146 121212114292 151515142865 212121200011 242424228584 303030285730 424242400022 606060571460 757575714325 848484800044 1060606000055 1212121142920 1515151428650 1696969600088 2121212000110 3030302857300 3787878571625 4242424000220 5303030000275 6060605714600 7575757143250 8484848000440 10606060000550 15151514286500 21212120001100 26515150001375 30303028573000 42424240002200 53030300002750 106060600005500 212121200011000