Search a number
-
+
13221020021 = 1119110957041
BaseRepresentation
bin11000101000000100…
…01100000101110101
31021010101200101221012
430110002030011311
5204034040120041
610023524202005
7645425546606
oct142402140565
937111611835
1013221020021
115674a15030
12268b839305
131329108791
148d5c5ddad
15525a5e3eb
hex31408c175

13221020021 has 16 divisors (see below), whose sum is σ = 15195988800. Its totient is φ = 11376057600.

The previous prime is 13221019997. The next prime is 13221020041. The reversal of 13221020021 is 12002012231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13221020021 - 214 = 13221003637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221019978 and 13221020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221020041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203261 + ... + 260301.

It is an arithmetic number, because the mean of its divisors is an integer number (949749300).

Almost surely, 213221020021 is an apocalyptic number.

13221020021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13221020021 is a deficient number, since it is larger than the sum of its proper divisors (1974968779).

13221020021 is a wasteful number, since it uses less digits than its factorization.

13221020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58180.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13221020021 its reverse (12002012231), we get a palindrome (25223032252).

The spelling of 13221020021 in words is "thirteen billion, two hundred twenty-one million, twenty thousand, twenty-one".

Divisors: 1 11 19 209 1109 12199 21071 57041 231781 627451 1083779 11921569 63258469 695843159 1201910911 13221020021