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102100241 is a prime number
BaseRepresentation
bin1100001010111…
…10110100010001
321010010020012102
412011132310101
5202114201431
614044210145
72346560225
oct605366421
9233106172
10102100241
11526a6471
122a239955
13181ca759
14d7ba785
158e6bdcb
hex615ed11

102100241 has 2 divisors, whose sum is σ = 102100242. Its totient is φ = 102100240.

The previous prime is 102100237. The next prime is 102100247. The reversal of 102100241 is 142001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62473216 + 39627025 = 7904^2 + 6295^2 .

It is an emirp because it is prime and its reverse (142001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102100241 - 22 = 102100237 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102100247) 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, 51050120 + 51050121.

It is an arithmetic number, because the mean of its divisors is an integer number (51050121).

Almost surely, 2102100241 is an apocalyptic number.

It is an amenable number.

102100241 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100241 is an equidigital number, since it uses as much as digits as its factorization.

102100241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102100241 is about 10104.4663886818. The cubic root of 102100241 is about 467.3858811886.

Adding to 102100241 its reverse (142001201), we get a palindrome (244101442).

The spelling of 102100241 in words is "one hundred two million, one hundred thousand, two hundred forty-one".