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200201222200249 is a prime number
BaseRepresentation
bin101101100001010011111010…
…101110111001101110111001
3222020212001100101200221121201
4231201103322232321232321
5202220044100340401444
61545443101035334201
760112026626641534
oct5541237256715671
9866761311627551
10200201222200249
11588769527736a6
121a5544082b1361
138792b8187626a
143761b10173a1b
151822a5e986dd4
hexb614fabb9bb9

200201222200249 has 2 divisors, whose sum is σ = 200201222200250. Its totient is φ = 200201222200248.

The previous prime is 200201222200141. The next prime is 200201222200279. The reversal of 200201222200249 is 942002222102002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179497293475600 + 20703928724649 = 13397660^2 + 4550157^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201222200249 - 237 = 200063783246777 is a prime.

It is not a weakly prime, because it can be changed into another prime (200201222200279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100611100124 + 100100611100125.

It is an arithmetic number, because the mean of its divisors is an integer number (100100611100125).

Almost surely, 2200201222200249 is an apocalyptic number.

It is an amenable number.

200201222200249 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201222200249 is an equidigital number, since it uses as much as digits as its factorization.

200201222200249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 200201222200249 in words is "two hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred thousand, two hundred forty-nine".