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200221200022133 is a prime number
BaseRepresentation
bin101101100001100110100001…
…100000001111101001110101
3222020220221220200111110012202
4231201212201200033221311
5202220411004201202013
61545500203253354245
760113334662425313
oct5541464140175165
9866827820443182
10200221200022133
11588843747249a4
121a558262938985
138794a16787244
143762a875250b3
15182332d7c1858
hexb619a180fa75

200221200022133 has 2 divisors, whose sum is σ = 200221200022134. Its totient is φ = 200221200022132.

The previous prime is 200221200022091. The next prime is 200221200022153. The reversal of 200221200022133 is 331220002122002.

It is a happy number.

It is an a-pointer prime, because the next prime (200221200022153) can be obtained adding 200221200022133 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178368258389764 + 21852941632369 = 13355458^2 + 4674713^2 .

It is a cyclic number.

It is not a de Polignac number, because 200221200022133 - 236 = 200152480545397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200221200022153) 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, 100110600011066 + 100110600011067.

It is an arithmetic number, because the mean of its divisors is an integer number (100110600011067).

Almost surely, 2200221200022133 is an apocalyptic number.

It is an amenable number.

200221200022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

200221200022133 is an equidigital number, since it uses as much as digits as its factorization.

200221200022133 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 20.

Adding to 200221200022133 its reverse (331220002122002), we get a palindrome (531441202144135).

The spelling of 200221200022133 in words is "two hundred trillion, two hundred twenty-one billion, two hundred million, twenty-two thousand, one hundred thirty-three".