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10008280097 is a prime number
BaseRepresentation
bin10010101001000101…
…00011110000100001
3221211111100022021122
421110202203300201
5130444104430342
64333040102025
7503004656114
oct112442436041
927744308248
1010008280097
11427645aa72
121b33904915
13c3662923a
146ad2ba57b
153d89964d2
hex2548a3c21

10008280097 has 2 divisors, whose sum is σ = 10008280098. Its totient is φ = 10008280096.

The previous prime is 10008280067. The next prime is 10008280129. The reversal of 10008280097 is 79008280001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8043219856 + 1965060241 = 89684^2 + 44329^2 .

It is a cyclic number.

It is not a de Polignac number, because 10008280097 - 212 = 10008276001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10008280027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004140048 + 5004140049.

It is an arithmetic number, because the mean of its divisors is an integer number (5004140049).

Almost surely, 210008280097 is an apocalyptic number.

It is an amenable number.

10008280097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10008280097 is an equidigital number, since it uses as much as digits as its factorization.

10008280097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 10008280097 in words is "ten billion, eight million, two hundred eighty thousand, ninety-seven".