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27331530013 is a prime number
BaseRepresentation
bin11001011101000101…
…100000110100011101
32121112210002120201101
4121131011200310131
5421433332430023
620320025313101
71655205112654
oct313505406435
977483076641
1027331530013
1110655a33037
125369335791
13276759ab88
141473ca219b
15a9e7211ad
hex65d160d1d

27331530013 has 2 divisors, whose sum is σ = 27331530014. Its totient is φ = 27331530012.

The previous prime is 27331529987. The next prime is 27331530041. The reversal of 27331530013 is 31003513372.

It is an a-pointer prime, because the next prime (27331530041) can be obtained adding 27331530013 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25353237529 + 1978292484 = 159227^2 + 44478^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27331530013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27331530043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13665765006 + 13665765007.

It is an arithmetic number, because the mean of its divisors is an integer number (13665765007).

Almost surely, 227331530013 is an apocalyptic number.

It is an amenable number.

27331530013 is a deficient number, since it is larger than the sum of its proper divisors (1).

27331530013 is an equidigital number, since it uses as much as digits as its factorization.

27331530013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 28.

The spelling of 27331530013 in words is "twenty-seven billion, three hundred thirty-one million, five hundred thirty thousand, thirteen".