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431104013 is a prime number
BaseRepresentation
bin11001101100100…
…010000000001101
31010001012100112022
4121230202000031
51340330312023
6110440015525
713453216004
oct3154420015
91101170468
10431104013
1120138a90a
121004615a5
136b411c42
144137dc3b
1527ca97c8
hex19b2200d

431104013 has 2 divisors, whose sum is σ = 431104014. Its totient is φ = 431104012.

The previous prime is 431104007. The next prime is 431104033. The reversal of 431104013 is 310401134.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 429194089 + 1909924 = 20717^2 + 1382^2 .

It is a cyclic number.

It is not a de Polignac number, because 431104013 - 24 = 431103997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 431103982 and 431104000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (431104033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215552006 + 215552007.

It is an arithmetic number, because the mean of its divisors is an integer number (215552007).

Almost surely, 2431104013 is an apocalyptic number.

It is an amenable number.

431104013 is a deficient number, since it is larger than the sum of its proper divisors (1).

431104013 is an equidigital number, since it uses as much as digits as its factorization.

431104013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 431104013 is about 20763.0444058669. The cubic root of 431104013 is about 755.4296418692.

Adding to 431104013 its reverse (310401134), we get a palindrome (741505147).

The spelling of 431104013 in words is "four hundred thirty-one million, one hundred four thousand, thirteen".