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85818101 is a prime number
BaseRepresentation
bin1010001110101…
…11101011110101
312222111000022012
411013113223311
5133432134401
612303214005
72061304355
oct507275365
9188430265
1085818101
1144495456
12248a7305
1314a19655
14b57cb65
1578028bb
hex51d7af5

85818101 has 2 divisors, whose sum is σ = 85818102. Its totient is φ = 85818100.

The previous prime is 85818049. The next prime is 85818121. The reversal of 85818101 is 10181858.

85818101 = 65502 + 65512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42915601 + 42902500 = 6551^2 + 6550^2 .

It is a cyclic number.

It is not a de Polignac number, because 85818101 - 210 = 85817077 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85818121) 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, 42909050 + 42909051.

It is an arithmetic number, because the mean of its divisors is an integer number (42909051).

Almost surely, 285818101 is an apocalyptic number.

85818101 is the 6551-st centered square number.

It is an amenable number.

85818101 is a deficient number, since it is larger than the sum of its proper divisors (1).

85818101 is an equidigital number, since it uses as much as digits as its factorization.

85818101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 32.

The square root of 85818101 is about 9263.8059673117. The cubic root of 85818101 is about 441.0890738297.

Adding to 85818101 its reverse (10181858), we get a palindrome (95999959).

The spelling of 85818101 in words is "eighty-five million, eight hundred eighteen thousand, one hundred one".