Search a number
-
+
212221220093 is a prime number
BaseRepresentation
bin1100010110100101011…
…1101101010011111101
3202021210001122222202122
43011221113231103331
511434112113020333
6241254301132325
721222016415201
oct3055127552375
9667701588678
10212221220093
11820033897a3
123516855a0a5
131702125a85c
14a3b3246b01
1557c1341798
hex31695ed4fd

212221220093 has 2 divisors, whose sum is σ = 212221220094. Its totient is φ = 212221220092.

The previous prime is 212221220089. The next prime is 212221220177. The reversal of 212221220093 is 390022122212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210228669049 + 1992551044 = 458507^2 + 44638^2 .

It is a cyclic number.

It is not a de Polignac number, because 212221220093 - 22 = 212221220089 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212221220023) 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, 106110610046 + 106110610047.

It is an arithmetic number, because the mean of its divisors is an integer number (106110610047).

Almost surely, 2212221220093 is an apocalyptic number.

It is an amenable number.

212221220093 is a deficient number, since it is larger than the sum of its proper divisors (1).

212221220093 is an equidigital number, since it uses as much as digits as its factorization.

212221220093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 212221220093 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred twenty thousand, ninety-three".