Search a number
-
+
2241313121 is a prime number
BaseRepresentation
bin1000010110010111…
…1011100101100001
312210012102111121002
42011211323211201
514042234004441
61010223041345
7106353563405
oct20545734541
95705374532
102241313121
11a501877a3
12526740255
13299467aa8
14173953105
15d1b7cb9b
hex8597b961

2241313121 has 2 divisors, whose sum is σ = 2241313122. Its totient is φ = 2241313120.

The previous prime is 2241313117. The next prime is 2241313127. The reversal of 2241313121 is 1213131422.

2241313121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2240696896 + 616225 = 47336^2 + 785^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241313121 - 22 = 2241313117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2241313093 and 2241313102.

It is not a weakly prime, because it can be changed into another prime (2241313127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120656560 + 1120656561.

It is an arithmetic number, because the mean of its divisors is an integer number (1120656561).

Almost surely, 22241313121 is an apocalyptic number.

It is an amenable number.

2241313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241313121 is an equidigital number, since it uses as much as digits as its factorization.

2241313121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 20.

The square root of 2241313121 is about 47342.5086048469. The cubic root of 2241313121 is about 1308.6821471001.

Adding to 2241313121 its reverse (1213131422), we get a palindrome (3454444543).

The spelling of 2241313121 in words is "two billion, two hundred forty-one million, three hundred thirteen thousand, one hundred twenty-one".