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212000220001 is a prime number
BaseRepresentation
bin1100010101110000110…
…0101010001101100001
3202021012122211000122001
43011130030222031201
511433134024020001
6241220324244001
721213364065103
oct3053414521541
9667178730561
10212000220001
11819aa663099
1235106540601
1316cb752cb7b
14a391b59573
1557abc3a001
hex315c32a361

212000220001 has 2 divisors, whose sum is σ = 212000220002. Its totient is φ = 212000220000.

The previous prime is 212000219917. The next prime is 212000220011. The reversal of 212000220001 is 100022000212.

It is an a-pointer prime, because the next prime (212000220011) can be obtained adding 212000220001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137033232400 + 74966987601 = 370180^2 + 273801^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000220001 - 29 = 212000219489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212000220001.

It is not a weakly prime, because it can be changed into another prime (212000220011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000110000 + 106000110001.

It is an arithmetic number, because the mean of its divisors is an integer number (106000110001).

Almost surely, 2212000220001 is an apocalyptic number.

It is an amenable number.

212000220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000220001 is an equidigital number, since it uses as much as digits as its factorization.

212000220001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212000220001 its reverse (100022000212), we get a palindrome (312022220213).

The spelling of 212000220001 in words is "two hundred twelve billion, two hundred twenty thousand, one".