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1330340413 is a prime number
BaseRepresentation
bin100111101001011…
…0110001000111101
310102201021021222011
41033102312020331
510211031343123
6340001451221
744652464323
oct11722661075
93381237864
101330340413
11622a40496
12311640b11
131827cbb9c
14c897bd13
157bbd4e0d
hex4f4b623d

1330340413 has 2 divisors, whose sum is σ = 1330340414. Its totient is φ = 1330340412.

The previous prime is 1330340381. The next prime is 1330340443. The reversal of 1330340413 is 3140430331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 790846884 + 539493529 = 28122^2 + 23227^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330340413 - 25 = 1330340381 is a prime.

It is a super-3 number, since 3×13303404133 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1330340443) 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 as a sum of consecutive naturals, namely, 665170206 + 665170207.

It is an arithmetic number, because the mean of its divisors is an integer number (665170207).

Almost surely, 21330340413 is an apocalyptic number.

It is an amenable number.

1330340413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1330340413 is an equidigital number, since it uses as much as digits as its factorization.

1330340413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1330340413 is about 36473.8318935645. The cubic root of 1330340413 is about 1099.8182655690.

Adding to 1330340413 its reverse (3140430331), we get a palindrome (4470770744).

The spelling of 1330340413 in words is "one billion, three hundred thirty million, three hundred forty thousand, four hundred thirteen".