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13111010213 = 72709377393
BaseRepresentation
bin11000011010111101…
…00010001110100101
31020211201200022211212
430031132202032211
5203322404311323
610004554241205
7642621514400
oct141536421645
936751608755
1013111010213
115618907034
12265aa26205
13130c39bb12
148c53c4d37
1551b07db78
hex30d7a23a5

13111010213 has 12 divisors (see below), whose sum is σ = 15273135180. Its totient is φ = 11222128512.

The previous prime is 13111010201. The next prime is 13111010233. The reversal of 13111010213 is 31201011131.

It is a happy number.

13111010213 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 1003749124 + 12107261089 = 31682^2 + 110033^2 .

It is a de Polignac number, because none of the positive numbers 2k-13111010213 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 (13111010233) 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, 153956 + ... + 223437.

It is an arithmetic number, because the mean of its divisors is an integer number (1272761265).

Almost surely, 213111010213 is an apocalyptic number.

It is an amenable number.

13111010213 is a deficient number, since it is larger than the sum of its proper divisors (2162124967).

13111010213 is an equidigital number, since it uses as much as digits as its factorization.

13111010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378116 (or 378109 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 13111010213 its reverse (31201011131), we get a palindrome (44312021344).

The spelling of 13111010213 in words is "thirteen billion, one hundred eleven million, ten thousand, two hundred thirteen".

Divisors: 1 7 49 709 4963 34741 377393 2641751 18492257 267571637 1873001459 13111010213