Search a number
-
+
21202132203233 = 1719244919973853
BaseRepresentation
bin1001101001000100000011…
…00011101111011011100001
32210001220102001021202121022
410310202001203233123201
510234333431321000413
6113032043003135225
74315542413114612
oct464420143573341
983056361252538
1021202132203233
116834856987a63
122465147214515
13baa477553357
1453428da15c09
1526b7b1d4a608
hex1348818ef6e1

21202132203233 has 48 divisors (see below), whose sum is σ = 23763871141200. Its totient is φ = 18848244989952.

The previous prime is 21202132203193. The next prime is 21202132203247. The reversal of 21202132203233 is 33230223120212.

It can be written as a sum of positive squares in 8 ways, for example, as 1145599886929 + 20056532316304 = 1070327^2 + 4478452^2 .

It is not a de Polignac number, because 21202132203233 - 220 = 21202131154657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21202132203533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5502757535 + ... + 5502761387.

It is an arithmetic number, because the mean of its divisors is an integer number (495080648775).

Almost surely, 221202132203233 is an apocalyptic number.

It is an amenable number.

21202132203233 is a deficient number, since it is larger than the sum of its proper divisors (2561738937967).

21202132203233 is a wasteful number, since it uses less digits than its factorization.

21202132203233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 21202132203233 its reverse (33230223120212), we get a palindrome (54432355323445).

The spelling of 21202132203233 in words is "twenty-one trillion, two hundred two billion, one hundred thirty-two million, two hundred three thousand, two hundred thirty-three".

Divisors: 1 17 19 323 361 449 1997 3853 6137 7633 8531 33949 37943 65501 73207 145027 162089 645031 720917 896653 1244519 1390933 1729997 2755513 7694441 12255589 15243101 17036407 23645861 29409949 32869943 130805497 146194379 289618919 323691733 558789031 624528917 2485304443 2777693201 3454804009 5502759461 10616991589 47220784417 58731668153 65641276171 1115901694907 1247184247249 21202132203233