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1013135797 is a prime number
BaseRepresentation
bin111100011000110…
…011100110110101
32121121101122001001
4330120303212311
54033330321142
6244311003301
734051340452
oct7430634665
92547348031
101013135797
1147a985a13
12243369531
13131b8914b
14987aa829
155de285b7
hex3c6339b5

1013135797 has 2 divisors, whose sum is σ = 1013135798. Its totient is φ = 1013135796.

The previous prime is 1013135759. The next prime is 1013135801. The reversal of 1013135797 is 7975313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 862361956 + 150773841 = 29366^2 + 12279^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013135797 - 227 = 878918069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013135597) 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, 506567898 + 506567899.

It is an arithmetic number, because the mean of its divisors is an integer number (506567899).

Almost surely, 21013135797 is an apocalyptic number.

It is an amenable number.

1013135797 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013135797 is an equidigital number, since it uses as much as digits as its factorization.

1013135797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19845, while the sum is 37.

The square root of 1013135797 is about 31829.7941714991. The cubic root of 1013135797 is about 1004.3595655690.

Adding to 1013135797 its reverse (7975313101), we get a palindrome (8988448898).

The spelling of 1013135797 in words is "one billion, thirteen million, one hundred thirty-five thousand, seven hundred ninety-seven".