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30205142813 is a prime number
BaseRepresentation
bin11100001000010111…
…011110011100011101
32212222001022020102002
4130020113132130131
5443330004032223
621513121012045
72116340322566
oct341027363435
985861266362
1030205142813
11118a001994a
125a2b784025
132b04a30191
1416677a916d
15bbbb4be28
hex7085de71d

30205142813 has 2 divisors, whose sum is σ = 30205142814. Its totient is φ = 30205142812.

The previous prime is 30205142797. The next prime is 30205142831. The reversal of 30205142813 is 31824150203.

It is a happy number.

Together with next prime (30205142831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26165650564 + 4039492249 = 161758^2 + 63557^2 .

It is an emirp because it is prime and its reverse (31824150203) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 30205142813 - 24 = 30205142797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30205142843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15102571406 + 15102571407.

It is an arithmetic number, because the mean of its divisors is an integer number (15102571407).

Almost surely, 230205142813 is an apocalyptic number.

It is an amenable number.

30205142813 is a deficient number, since it is larger than the sum of its proper divisors (1).

30205142813 is an equidigital number, since it uses as much as digits as its factorization.

30205142813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 30205142813 in words is "thirty billion, two hundred five million, one hundred forty-two thousand, eight hundred thirteen".