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13415134213 = 136129357737
BaseRepresentation
bin11000111111001101…
…01011010000000101
31021121220221102112201
430133212223100011
5204433233243323
610055100514501
7653303521315
oct143746532005
937556842481
1013415134213
115764547988
12272484ba31
13135a3b1a50
1491394d445
15537b048ad
hex31f9ab405

13415134213 has 16 divisors (see below), whose sum is σ = 14734275696. Its totient is φ = 12138416640.

The previous prime is 13415134207. The next prime is 13415134217. The reversal of 13415134213 is 31243151431.

13415134213 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 8 ways, for example, as 2495302209 + 10919832004 = 49953^2 + 104498^2 .

It is a cyclic number.

It is not a de Polignac number, because 13415134213 - 25 = 13415134181 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 (13415134217) 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 15 ways as a sum of consecutive naturals, for example, 203481 + ... + 261217.

It is an arithmetic number, because the mean of its divisors is an integer number (920892231).

Almost surely, 213415134213 is an apocalyptic number.

13415134213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13415134213 is a deficient number, since it is larger than the sum of its proper divisors (1319141483).

13415134213 is a wasteful number, since it uses less digits than its factorization.

13415134213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58104.

The product of its digits is 4320, while the sum is 28.

Adding to 13415134213 its reverse (31243151431), we get a palindrome (44658285644).

The spelling of 13415134213 in words is "thirteen billion, four hundred fifteen million, one hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 13 61 293 793 3809 17873 57737 232349 750581 3521957 16916941 45785441 219920233 1031933401 13415134213