Search a number
-
+
211121333121030 = 23541223831756787
BaseRepresentation
bin110000000000001110000100…
…000100001011000000000110
31000200112000001200221220122020
4300000032010010023000012
5210133002442234333110
62025003445042544010
762320004306151603
oct6000160404130006
91020460050856566
10211121333121030
11612a70666969a2
121b81888b368006
1390a586bb309b7
143a1c4815a56aa
151961b3c782d70
hexc0038410b006

211121333121030 has 96 divisors (see below), whose sum is σ = 519569179633152. Its totient is φ = 54902794986240.

The previous prime is 211121333120993. The next prime is 211121333121059. The reversal of 211121333121030 is 30121333121112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119296297 + ... + 121053083.

It is an arithmetic number, because the mean of its divisors is an integer number (5412178954512).

Almost surely, 2211121333121030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121333121030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259784589816576).

211121333121030 is an abundant number, since it is smaller than the sum of its proper divisors (308447846512122).

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

211121333121030 is a wasteful number, since it uses less digits than its factorization.

211121333121030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759262 (or 1759221 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 211121333121030 its reverse (30121333121112), we get a palindrome (241242666242142).

The spelling of 211121333121030 in words is "two hundred eleven trillion, one hundred twenty-one billion, three hundred thirty-three million, one hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1681 2383 3362 4766 5043 7149 8405 10086 11915 14298 16810 23830 25215 35745 50430 71490 97703 195406 293109 488515 586218 977030 1465545 1756787 2931090 3513574 4005823 5270361 8011646 8783935 10540722 12017469 17567870 20029115 24034938 26351805 40058230 52703610 60087345 72028267 120174690 144056534 216084801 360141335 432169602 720282670 1080424005 2160848010 2953158947 4186423421 5906317894 8372846842 8859476841 12559270263 14765794735 17718953682 20932117105 25118540526 29531589470 41864234210 44297384205 62796351315 88594768410 125592702630 171643360261 343286720522 514930080783 858216801305 1029860161566 1716433602610 2574650403915 5149300807830 7037377770701 14074755541402 21112133312103 35186888853505 42224266624206 70373777707010 105560666560515 211121333121030