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30000000013 is a prime number
BaseRepresentation
bin11011111100001000…
…111010110000001101
32212102202021220101121
4123330020322300031
5442420000000023
621440512040541
72111266535614
oct337410726015
985382256347
1030000000013
11117a5244045
125992b33151
132aa13950c9
14164844887b
15ba8b28d5d
hex6fc23ac0d

30000000013 has 2 divisors, whose sum is σ = 30000000014. Its totient is φ = 30000000012.

The previous prime is 30000000001. The next prime is 30000000053. The reversal of 30000000013 is 31000000003.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25094678569 + 4905321444 = 158413^2 + 70038^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30000000013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29999999933 and 30000000005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30000000053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15000000006 + 15000000007.

It is an arithmetic number, because the mean of its divisors is an integer number (15000000007).

Almost surely, 230000000013 is an apocalyptic number.

It is an amenable number.

30000000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

30000000013 is an equidigital number, since it uses as much as digits as its factorization.

30000000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 7.

Adding to 30000000013 its reverse (31000000003), we get a palindrome (61000000016).

The spelling of 30000000013 in words is "thirty billion, thirteen", and thus it is an aban number and an uban number.