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102220202209 is a prime number
BaseRepresentation
bin101111100110011001…
…1001000000011100001
3100202211220100022010011
41133030303020003201
53133321332432314
6114543113404521
710246053245146
oct1371463100341
9322756308104
10102220202209
113a395703964
1217989409741
139840795568
144d39c7a3cd
1529d40e74c4
hex17cccc80e1

102220202209 has 2 divisors, whose sum is σ = 102220202210. Its totient is φ = 102220202208.

The previous prime is 102220202171. The next prime is 102220202257. The reversal of 102220202209 is 902202022201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101863105600 + 357096609 = 319160^2 + 18897^2 .

It is an emirp because it is prime and its reverse (902202022201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102220202209 - 231 = 100072718561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102220202209.

It is not a weakly prime, because it can be changed into another prime (102220202509) 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, 51110101104 + 51110101105.

It is an arithmetic number, because the mean of its divisors is an integer number (51110101105).

Almost surely, 2102220202209 is an apocalyptic number.

It is an amenable number.

102220202209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220202209 is an equidigital number, since it uses as much as digits as its factorization.

102220202209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 102220202209 in words is "one hundred two billion, two hundred twenty million, two hundred two thousand, two hundred nine".