Search a number
-
+
217521622121 is a prime number
BaseRepresentation
bin1100101010010101001…
…1001000110001101001
3202210110110022022102212
43022211103020301221
512030441013401441
6243532243134505
721500250165266
oct3124523106151
9683413268385
10217521622121
1184283315241
12361a7674435
13176873c820b
14a75718426d
1559d1835eeb
hex32a54c8c69

217521622121 has 2 divisors, whose sum is σ = 217521622122. Its totient is φ = 217521622120.

The previous prime is 217521622099. The next prime is 217521622183. The reversal of 217521622121 is 121226125712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116851850896 + 100669771225 = 341836^2 + 317285^2 .

It is a cyclic number.

It is not a de Polignac number, because 217521622121 - 26 = 217521622057 is a prime.

It is a super-2 number, since 2×2175216221212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (217521522121) 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, 108760811060 + 108760811061.

It is an arithmetic number, because the mean of its divisors is an integer number (108760811061).

Almost surely, 2217521622121 is an apocalyptic number.

It is an amenable number.

217521622121 is a deficient number, since it is larger than the sum of its proper divisors (1).

217521622121 is an equidigital number, since it uses as much as digits as its factorization.

217521622121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 32.

Adding to 217521622121 its reverse (121226125712), we get a palindrome (338747747833).

The spelling of 217521622121 in words is "two hundred seventeen billion, five hundred twenty-one million, six hundred twenty-two thousand, one hundred twenty-one".