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2440300013 is a prime number
BaseRepresentation
bin1001000101110100…
…0000010111101101
320022001212002021222
42101131000113231
514444204100023
61042052033125
7114321131204
oct22135002755
96261762258
102440300013
111042538578
125813027a5
132cb758c08
1419215023b
15e4386cc8
hex917405ed

2440300013 has 2 divisors, whose sum is σ = 2440300014. Its totient is φ = 2440300012.

The previous prime is 2440299959. The next prime is 2440300081. The reversal of 2440300013 is 3100030442.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1691018884 + 749281129 = 41122^2 + 27373^2 .

It is a cyclic number.

It is not a de Polignac number, because 2440300013 - 212 = 2440295917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2440299964 and 2440300000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2440300813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1220150006 + 1220150007.

It is an arithmetic number, because the mean of its divisors is an integer number (1220150007).

Almost surely, 22440300013 is an apocalyptic number.

It is an amenable number.

2440300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2440300013 is an equidigital number, since it uses as much as digits as its factorization.

2440300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2440300013 is about 49399.3928403984. The cubic root of 2440300013 is about 1346.3182742999.

Adding to 2440300013 its reverse (3100030442), we get a palindrome (5540330455).

The spelling of 2440300013 in words is "two billion, four hundred forty million, three hundred thousand, thirteen".