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2130300013 is a prime number
BaseRepresentation
bin111111011111001…
…1100110001101101
312111110112110020111
41332332130301231
513330324100023
6551215420021
7103535152132
oct17676346155
95443473214
102130300013
119a3553a26
124b5524611
1327c46956a
14162cd6589
15c705000d
hex7ef9cc6d

2130300013 has 2 divisors, whose sum is σ = 2130300014. Its totient is φ = 2130300012.

The previous prime is 2130299999. The next prime is 2130300047. The reversal of 2130300013 is 3100030312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1120776484 + 1009523529 = 33478^2 + 31773^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2130300013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130299966 and 2130300002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2130300313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065150006 + 1065150007.

It is an arithmetic number, because the mean of its divisors is an integer number (1065150007).

Almost surely, 22130300013 is an apocalyptic number.

It is an amenable number.

2130300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2130300013 is an equidigital number, since it uses as much as digits as its factorization.

2130300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2130300013 is about 46155.1731986784. The cubic root of 2130300013 is about 1286.7087570312.

Adding to 2130300013 its reverse (3100030312), we get a palindrome (5230330325).

The spelling of 2130300013 in words is "two billion, one hundred thirty million, three hundred thousand, thirteen".