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21331837233 = 3272411179793
BaseRepresentation
bin10011110111011110…
…100000000100110001
32001001122121121110200
4103313132200010301
5322141422242413
613444423145413
71353423424200
oct236736400461
961048547420
1021331837233
1190572a2053
124173ba5269
13201c5abbc5
141065133237
1584cb49573
hex4f77a0131

21331837233 has 36 divisors (see below), whose sum is σ = 36717548868. Its totient is φ = 11892303360.

The previous prime is 21331837223. The next prime is 21331837271. The reversal of 21331837233 is 33273813312.

It can be written as a sum of positive squares in 2 ways, for example, as 777740544 + 20554096689 = 27888^2 + 143367^2 .

It is not a de Polignac number, because 21331837233 - 26 = 21331837169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21331837213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 571816 + ... + 607977.

It is an arithmetic number, because the mean of its divisors is an integer number (1019931913).

Almost surely, 221331837233 is an apocalyptic number.

It is an amenable number.

21331837233 is a deficient number, since it is larger than the sum of its proper divisors (15385711635).

21331837233 is a wasteful number, since it uses less digits than its factorization.

21331837233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179854 (or 1179844 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The spelling of 21331837233 in words is "twenty-one billion, three hundred thirty-one million, eight hundred thirty-seven thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2583 6027 18081 1179793 3539379 8258551 10618137 24775653 48371513 57809857 74326959 145114539 173429571 338600591 435343617 520288713 1015801773 2370204137 3047405319 7110612411 21331837233