Search a number
-
+
12020133013 = 722213110849
BaseRepresentation
bin10110011000111010…
…01010110010010101
31011000201000000122121
423030131022302111
5144104123224023
65304425055541
7603604305400
oct131435126225
934021000577
1012020133013
115109062929
1223b56275b1
131197393655
1482057cd37
154a53ead5d
hex2cc74ac95

12020133013 has 12 divisors (see below), whose sum is σ = 13989048300. Its totient is φ = 10298222592.

The previous prime is 12020132987. The next prime is 12020133031. The reversal of 12020133013 is 31033102021.

12020133013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11854418884 + 165714129 = 108878^2 + 12873^2 .

It is not a de Polignac number, because 12020133013 - 225 = 11986578581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020133043) 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 11 ways as a sum of consecutive naturals, for example, 53013 + ... + 163861.

It is an arithmetic number, because the mean of its divisors is an integer number (1165754025).

Almost surely, 212020133013 is an apocalyptic number.

It is an amenable number.

12020133013 is a deficient number, since it is larger than the sum of its proper divisors (1968915287).

12020133013 is a wasteful number, since it uses less digits than its factorization.

12020133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113076 (or 113069 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12020133013 its reverse (31033102021), we get a palindrome (43053235034).

The spelling of 12020133013 in words is "twelve billion, twenty million, one hundred thirty-three thousand, thirteen".

Divisors: 1 7 49 2213 15491 108437 110849 775943 5431601 245308837 1717161859 12020133013