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3002002013 is a prime number
BaseRepresentation
bin1011001011101110…
…1110101001011101
321202012210111120202
42302323232221131
522122003031023
61213515153245
7134251411313
oct26273565135
97665714522
103002002013
1113006085aa
126b9445825
1338ac3586a
142069a80b3
1512883c128
hexb2eeea5d

3002002013 has 2 divisors, whose sum is σ = 3002002014. Its totient is φ = 3002002012.

The previous prime is 3002002009. The next prime is 3002002037. The reversal of 3002002013 is 3102002003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2294601604 + 707400409 = 47902^2 + 26597^2 .

It is an emirp because it is prime and its reverse (3102002003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3002002013 - 22 = 3002002009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3002001985 and 3002002003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3002002513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501001006 + 1501001007.

It is an arithmetic number, because the mean of its divisors is an integer number (1501001007).

Almost surely, 23002002013 is an apocalyptic number.

It is an amenable number.

3002002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002002013 is an equidigital number, since it uses as much as digits as its factorization.

3002002013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3002002013 is about 54790.5284971773. The cubic root of 3002002013 is about 1442.5703214559.

Adding to 3002002013 its reverse (3102002003), we get a palindrome (6104004016).

The spelling of 3002002013 in words is "three billion, two million, two thousand, thirteen".