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202122217001 is a prime number
BaseRepresentation
bin1011110000111101101…
…1000100011000101001
3201022201020121110221002
42330033123010120221
511302421241421001
6232504220324345
720413530332405
oct2741733043051
9638636543832
10202122217001
11787a07a4251
123320a3a36b5
13160a1bb8593
149ad5cb2105
1553ce92946b
hex2f0f6c4629

202122217001 has 2 divisors, whose sum is σ = 202122217002. Its totient is φ = 202122217000.

The previous prime is 202122216973. The next prime is 202122217021. The reversal of 202122217001 is 100712221202.

202122217001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (202122217021) can be obtained adding 202122217001 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., 176975869225 + 25146347776 = 420685^2 + 158576^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122217001 - 26 = 202122216937 is a prime.

It is not a weakly prime, because it can be changed into another prime (202122217021) 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, 101061108500 + 101061108501.

It is an arithmetic number, because the mean of its divisors is an integer number (101061108501).

Almost surely, 2202122217001 is an apocalyptic number.

It is an amenable number.

202122217001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122217001 is an equidigital number, since it uses as much as digits as its factorization.

202122217001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 202122217001 its reverse (100712221202), we get a palindrome (302834438203).

The spelling of 202122217001 in words is "two hundred two billion, one hundred twenty-two million, two hundred seventeen thousand, one".