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213480771193 is a prime number
BaseRepresentation
bin1100011011010001110…
…0100000111001111001
3202102000211201211001101
43012310130200321321
511444202034134233
6242023253451401
721265152420634
oct3066434407171
9672024654041
10213480771193
118259a36a118
123545a340b61
13171921a2871
14a492638c1b
155846be1c7d
hex31b4720e79

213480771193 has 2 divisors, whose sum is σ = 213480771194. Its totient is φ = 213480771192.

The previous prime is 213480771169. The next prime is 213480771211. The reversal of 213480771193 is 391177084312.

213480771193 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., 118278902889 + 95201868304 = 343917^2 + 308548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213480771193 is a prime.

It is not a weakly prime, because it can be changed into another prime (213481771193) 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, 106740385596 + 106740385597.

It is an arithmetic number, because the mean of its divisors is an integer number (106740385597).

Almost surely, 2213480771193 is an apocalyptic number.

It is an amenable number.

213480771193 is a deficient number, since it is larger than the sum of its proper divisors (1).

213480771193 is an equidigital number, since it uses as much as digits as its factorization.

213480771193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 213480771193 in words is "two hundred thirteen billion, four hundred eighty million, seven hundred seventy-one thousand, one hundred ninety-three".