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220166729897 is a prime number
BaseRepresentation
bin1100110100001011110…
…1011011000010101001
3210001021210112201011112
43031002331123002221
512101400140324042
6245050533040105
721622636216622
oct3150275330251
9701253481145
10220166729897
1185410419924
1236805486035
13179b940284a
14a9285a8a49
155ad8b76982
hex3342f5b0a9

220166729897 has 2 divisors, whose sum is σ = 220166729898. Its totient is φ = 220166729896.

The previous prime is 220166729831. The next prime is 220166729917. The reversal of 220166729897 is 798927661022.

It is a happy number.

220166729897 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., 195248213161 + 24918516736 = 441869^2 + 157856^2 .

It is a cyclic number.

It is not a de Polignac number, because 220166729897 - 230 = 219092988073 is a prime.

It is not a weakly prime, because it can be changed into another prime (220166729807) 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, 110083364948 + 110083364949.

It is an arithmetic number, because the mean of its divisors is an integer number (110083364949).

Almost surely, 2220166729897 is an apocalyptic number.

It is an amenable number.

220166729897 is a deficient number, since it is larger than the sum of its proper divisors (1).

220166729897 is an equidigital number, since it uses as much as digits as its factorization.

220166729897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9144576, while the sum is 59.

The spelling of 220166729897 in words is "two hundred twenty billion, one hundred sixty-six million, seven hundred twenty-nine thousand, eight hundred ninety-seven".