Search a number
-
+
21331013302001 = 1317259181531667
BaseRepresentation
bin1001101100110100000110…
…11110000111011011110001
32210112020001222210221021202
410312122003132013123301
510243441403401131001
6113211155432300545
74331054252304344
oct466320336073361
983466058727252
1021331013302001
116884482a02027
122486115241755
13bb9676689c40
1453a5d866245b
1526ed0684296b
hex1366837876f1

21331013302001 has 48 divisors (see below), whose sum is σ = 24953390978880. Its totient is φ = 18117135682560.

The previous prime is 21331013301937. The next prime is 21331013302007. The reversal of 21331013302001 is 10020331013312.

It is not a de Polignac number, because 21331013302001 - 26 = 21331013301937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21331013302007) 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, 39855170 + ... + 40386836.

It is an arithmetic number, because the mean of its divisors is an integer number (519862312060).

Almost surely, 221331013302001 is an apocalyptic number.

It is an amenable number.

21331013302001 is a deficient number, since it is larger than the sum of its proper divisors (3622377676879).

21331013302001 is a wasteful number, since it uses less digits than its factorization.

21331013302001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531954 (or 531937 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 21331013302001 its reverse (10020331013312), we get a palindrome (31351344315313).

The spelling of 21331013302001 in words is "twenty-one trillion, three hundred thirty-one billion, thirteen million, three hundred two thousand, one".

Divisors: 1 13 17 59 181 221 289 767 1003 2353 3077 3757 10679 13039 17051 40001 52309 138827 181543 221663 531667 680017 2360059 3086231 6911671 9038339 31368353 40121003 96231727 117498407 153651763 407788589 533262001 1251012451 1635939359 1997472919 5677671893 6932406013 9065454017 21267211667 27810969103 73809734609 96520422181 117850902221 361542598339 1254765488353 1640847177077 21331013302001