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1216000013 is a prime number
BaseRepresentation
bin100100001111010…
…1011000000001101
310010202010012102112
41020132223000031
54442244000023
6320355033405
742063554354
oct11036530015
93122105375
101216000013
11574444898
1229b29b865
13164c07047
14b76d699b
1571b4b478
hex487ab00d

1216000013 has 2 divisors, whose sum is σ = 1216000014. Its totient is φ = 1216000012.

The previous prime is 1216000007. The next prime is 1216000039. The reversal of 1216000013 is 3100006121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 909504964 + 306495049 = 30158^2 + 17507^2 .

It is a cyclic number.

It is not a de Polignac number, because 1216000013 - 216 = 1215934477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1216000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 608000006 + 608000007.

It is an arithmetic number, because the mean of its divisors is an integer number (608000007).

Almost surely, 21216000013 is an apocalyptic number.

It is an amenable number.

1216000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1216000013 is an equidigital number, since it uses as much as digits as its factorization.

1216000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1216000013 is about 34871.1917347257. The cubic root of 1216000013 is about 1067.3606632924.

Adding to 1216000013 its reverse (3100006121), we get a palindrome (4316006134).

The spelling of 1216000013 in words is "one billion, two hundred sixteen million, thirteen", and thus it is an aban number.