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21011002203321 = 3213232339472997
BaseRepresentation
bin1001100011100000000010…
…10100101001110010111001
32202101122001212110202202200
410301300001110221302321
510223221013031001241
6112404153212020413
74265665135661304
oct461600124516271
982348055422680
1021011002203321
116770796a96149
1224340a6161709
13b95437a98a50
14528d1b989b3b
152668274744b6
hex131c01529cb9

21011002203321 has 36 divisors (see below), whose sum is σ = 34166599356708. Its totient is φ = 12367680190272.

The previous prime is 21011002203319. The next prime is 21011002203329. The reversal of 21011002203321 is 12330220011012.

21011002203321 is a `hidden beast` number, since 2 + 1 + 0 + 110 + 0 + 220 + 332 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11410640785296 + 9600361418025 = 3377964^2 + 3098445^2 .

It is not a de Polignac number, because 21011002203321 - 21 = 21011002203319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21011002203294 and 21011002203303.

It is not an unprimeable number, because it can be changed into a prime (21011002203329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169674606 + ... + 169798391.

It is an arithmetic number, because the mean of its divisors is an integer number (949072204353).

Almost surely, 221011002203321 is an apocalyptic number.

It is an amenable number.

21011002203321 is a deficient number, since it is larger than the sum of its proper divisors (13155597153387).

21011002203321 is a wasteful number, since it uses less digits than its factorization.

21011002203321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339473062 (or 339473036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21011002203321 its reverse (12330220011012), we get a palindrome (33341222214333).

The spelling of 21011002203321 in words is "twenty-one trillion, eleven billion, two million, two hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 13 23 39 69 117 207 299 529 897 1587 2691 4761 6877 20631 61893 339472997 1018418991 3055256973 4413148961 7807878931 13239446883 23423636793 39718340649 70270910379 101502426103 179581215413 304507278309 538743646239 913521834927 1616230938717 2334555800369 7003667401107 21011002203321