Search a number
-
+
2124004217 is a prime number
BaseRepresentation
bin111111010011001…
…1011101101111001
312111000200121000212
41332212123231321
513322221113332
6550432440505
7103430511056
oct17646335571
95430617025
102124004217
1199aa43895
124b33a9135
1327b073a3a
1416213802d
15c67098b2
hex7e99bb79

2124004217 has 2 divisors, whose sum is σ = 2124004218. Its totient is φ = 2124004216.

The previous prime is 2124004187. The next prime is 2124004237. The reversal of 2124004217 is 7124004212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1923611881 + 200392336 = 43859^2 + 14156^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124004217 - 218 = 2123742073 is a prime.

It is a super-2 number, since 2×21240042172 = 9022787827667566178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2124004192 and 2124004201.

It is not a weakly prime, because it can be changed into another prime (2124004237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1062002108 + 1062002109.

It is an arithmetic number, because the mean of its divisors is an integer number (1062002109).

Almost surely, 22124004217 is an apocalyptic number.

It is an amenable number.

2124004217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124004217 is an equidigital number, since it uses as much as digits as its factorization.

2124004217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2124004217 is about 46086.9202377421. The cubic root of 2124004217 is about 1285.4399452472.

Adding to 2124004217 its reverse (7124004212), we get a palindrome (9248008429).

The spelling of 2124004217 in words is "two billion, one hundred twenty-four million, four thousand, two hundred seventeen".