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166601116013 is a prime number
BaseRepresentation
bin1001101100101000110…
…0110100100101101101
3120221000201101120211012
42123022030310211231
510212144341203023
6204311400035005
715015350056253
oct2331214644555
9527021346735
10166601116013
1164722a94342
1228356462a65
1312930a32227
1480c64ba5d3
154501263978
hex26ca33496d

166601116013 has 2 divisors, whose sum is σ = 166601116014. Its totient is φ = 166601116012.

The previous prime is 166601115959. The next prime is 166601116049. The reversal of 166601116013 is 310611106661.

166601116013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157262212969 + 9338903044 = 396563^2 + 96638^2 .

It is an emirp because it is prime and its reverse (310611106661) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 166601116013 - 26 = 166601115949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (166601716013) 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, 83300558006 + 83300558007.

It is an arithmetic number, because the mean of its divisors is an integer number (83300558007).

Almost surely, 2166601116013 is an apocalyptic number.

It is an amenable number.

166601116013 is a deficient number, since it is larger than the sum of its proper divisors (1).

166601116013 is an equidigital number, since it uses as much as digits as its factorization.

166601116013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 166601116013 in words is "one hundred sixty-six billion, six hundred one million, one hundred sixteen thousand, thirteen".