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20211233301311 = 13731512834331151
BaseRepresentation
bin1001001100001110010110…
…11000011010001100111111
32122120011201121012000121212
410212013023120122030333
510122120101211120221
6110552525024515035
74154133126324323
oct446071330321477
978504647160555
1020211233301311
116492599324828
1223250a517ba7b
13b37bac974360
144dc32c1bd983
15250b195d0b5b
hex1261cb61a33f

20211233301311 has 64 divisors (see below), whose sum is σ = 22359592894464. Its totient is φ = 18156648960000.

The previous prime is 20211233301307. The next prime is 20211233301313. The reversal of 20211233301311 is 11310333211202.

It is a cyclic number.

It is not a de Polignac number, because 20211233301311 - 22 = 20211233301307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211233301313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17559715586 + ... + 17559716736.

It is an arithmetic number, because the mean of its divisors is an integer number (349368638976).

Almost surely, 220211233301311 is an apocalyptic number.

20211233301311 is a deficient number, since it is larger than the sum of its proper divisors (2148359593153).

20211233301311 is a wasteful number, since it uses less digits than its factorization.

20211233301311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 20211233301311 its reverse (11310333211202), we get a palindrome (31521566512513).

The spelling of 20211233301311 in words is "twenty trillion, two hundred eleven billion, two hundred thirty-three million, three hundred one thousand, three hundred eleven".

Divisors: 1 13 73 151 283 433 949 1151 1963 3679 5629 11023 14963 20659 31609 42733 65383 84023 122539 143299 173801 268567 325733 410917 498383 555529 849979 1092299 1593007 2259413 3119509 4234529 4772959 6478979 8945347 12687473 18503389 23778509 36381959 40553617 49185683 62048467 75255833 116289511 141042389 164937149 240544057 309120617 472965467 639413879 978325829 1350747397 1833551057 3590554859 5493675809 10296094397 17559716161 21297400739 46677213167 71417785517 133849227161 276866209607 1554710253947 20211233301311