Search a number
-
+
13044131121 = 37621149101
BaseRepresentation
bin11000010010111110…
…11010010100110001
31020200001211111222110
430021133122110301
5203203244143441
65554204555533
7641150166540
oct141137322461
936601744873
1013044131121
11559408785a
122640552ba9
1312cb5839a8
148ba576157
1551526cb16
hex3097da531

13044131121 has 8 divisors (see below), whose sum is σ = 19876771264. Its totient is φ = 7453789200.

The previous prime is 13044131083. The next prime is 13044131129. The reversal of 13044131121 is 12113144031.

13044131121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13044131121 - 214 = 13044114737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 621149101 = 13044131121 / (1 + 3 + 0 + 4 + 4 + 1 + 3 + 1 + 1 + 2 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13044131129) 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 7 ways as a sum of consecutive naturals, for example, 310574530 + ... + 310574571.

It is an arithmetic number, because the mean of its divisors is an integer number (2484596408).

Almost surely, 213044131121 is an apocalyptic number.

It is an amenable number.

13044131121 is a deficient number, since it is larger than the sum of its proper divisors (6832640143).

13044131121 is an equidigital number, since it uses as much as digits as its factorization.

13044131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621149111.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13044131121 its reverse (12113144031), we get a palindrome (25157275152).

The spelling of 13044131121 in words is "thirteen billion, forty-four million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 21 621149101 1863447303 4348043707 13044131121