Search a number
-
+
2124120221 is a prime number
BaseRepresentation
bin111111010011011…
…1000000010011101
312111000220111011022
41332212320002131
513322233321341
6550435133525
7103431503216
oct17646700235
95430814138
102124120221
119a0012a63
124b34442a5
1327b0b4792
1416216840d
15c672de4b
hex7e9b809d

2124120221 has 2 divisors, whose sum is σ = 2124120222. Its totient is φ = 2124120220.

The previous prime is 2124120203. The next prime is 2124120253. The reversal of 2124120221 is 1220214212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1518271225 + 605848996 = 38965^2 + 24614^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124120221 - 26 = 2124120157 is a prime.

It is a super-2 number, since 2×21241202212 = 9023773426522177682, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2124120221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2124120721) 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, 1062060110 + 1062060111.

It is an arithmetic number, because the mean of its divisors is an integer number (1062060111).

Almost surely, 22124120221 is an apocalyptic number.

It is an amenable number.

2124120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124120221 is an equidigital number, since it uses as much as digits as its factorization.

2124120221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2124120221 is about 46088.1787555117. The cubic root of 2124120221 is about 1285.4633465600.

Adding to 2124120221 its reverse (1220214212), we get a palindrome (3344334433).

The spelling of 2124120221 in words is "two billion, one hundred twenty-four million, one hundred twenty thousand, two hundred twenty-one".