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13113310041 = 3213112079573
BaseRepresentation
bin11000011011001110…
…10011101101011001
31020211220000011121200
430031213103231121
5203324001410131
610005115424413
7642650203416
oct141547235531
936756004550
1013113310041
11561a137a17
12265b755109
13130c9c5870
148c582310d
1551b3852e6
hex30d9d3b59

13113310041 has 12 divisors (see below), whose sum is σ = 20398482468. Its totient is φ = 8069729184.

The previous prime is 13113310033. The next prime is 13113310061. The reversal of 13113310041 is 14001331131.

13113310041 is a `hidden beast` number, since 1 + 311 + 3 + 310 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7481558016 + 5631752025 = 86496^2 + 75045^2 .

It is not a de Polignac number, because 13113310041 - 23 = 13113310033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13113309996 and 13113310023.

It is not an unprimeable number, because it can be changed into a prime (13113310061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56039670 + ... + 56039903.

It is an arithmetic number, because the mean of its divisors is an integer number (1699873539).

Almost surely, 213113310041 is an apocalyptic number.

It is an amenable number.

13113310041 is a deficient number, since it is larger than the sum of its proper divisors (7285172427).

13113310041 is a wasteful number, since it uses less digits than its factorization.

13113310041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112079592 (or 112079589 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13113310041 its reverse (14001331131), we get a palindrome (27114641172).

The spelling of 13113310041 in words is "thirteen billion, one hundred thirteen million, three hundred ten thousand, forty-one".

Divisors: 1 3 9 13 39 117 112079573 336238719 1008716157 1457034449 4371103347 13113310041