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200212220010041 is a prime number
BaseRepresentation
bin101101100001011110001010…
…010000001101111000111001
3222020220002201212000120110022
4231201132022100031320321
5202220234111310310131
61545452120224500225
760112566311533121
oct5541361220157071
9866802655016408
10200212220010041
11588805867459a8
121a55657747a675
138793c151b4a15
143762474a33c81
151822ea524237b
hexb6178a40de39

200212220010041 has 2 divisors, whose sum is σ = 200212220010042. Its totient is φ = 200212220010040.

The previous prime is 200212220009983. The next prime is 200212220010071. The reversal of 200212220010041 is 140010022212002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187827134640016 + 12385085370025 = 13705004^2 + 3519245^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212220010041 - 210 = 200212220009017 is a prime.

It is not a weakly prime, because it can be changed into another prime (200212220010071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106110005020 + 100106110005021.

It is an arithmetic number, because the mean of its divisors is an integer number (100106110005021).

Almost surely, 2200212220010041 is an apocalyptic number.

It is an amenable number.

200212220010041 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212220010041 is an equidigital number, since it uses as much as digits as its factorization.

200212220010041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 200212220010041 its reverse (140010022212002), we get a palindrome (340222242222043).

The spelling of 200212220010041 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, ten thousand, forty-one".