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200212210049 is a prime number
BaseRepresentation
bin1011101001110110010…
…0111110000110000001
3201010210010121001221212
42322131210332012001
511240013311210144
6231550510255505
720315305464125
oct2723544760601
9633703531855
10200212210049
1177a00633805
12329767b7595
1315b5928cc57
149994361585
15531bde149e
hex2e9d93e181

200212210049 has 2 divisors, whose sum is σ = 200212210050. Its totient is φ = 200212210048.

The previous prime is 200212209971. The next prime is 200212210061. The reversal of 200212210049 is 940012212002.

200212210049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174043324225 + 26168885824 = 417185^2 + 161768^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200212210049 is a prime.

It is not a weakly prime, because it can be changed into another prime (200212210069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106105024 + 100106105025.

It is an arithmetic number, because the mean of its divisors is an integer number (100106105025).

Almost surely, 2200212210049 is an apocalyptic number.

It is an amenable number.

200212210049 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212210049 is an equidigital number, since it uses as much as digits as its factorization.

200212210049 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 23.

The spelling of 200212210049 in words is "two hundred billion, two hundred twelve million, two hundred ten thousand, forty-nine".