Search a number
-
+
2185313041 is a prime number
BaseRepresentation
bin1000001001000001…
…0011101100010001
312122022001101221001
42002100103230101
513433420004131
61000502502001
7105103566022
oct20220235421
95568041831
102185313041
11a2160903a
1250ba34901
1328a98b652
1416a336c49
15cbcba261
hex82413b11

2185313041 has 2 divisors, whose sum is σ = 2185313042. Its totient is φ = 2185313040.

The previous prime is 2185313033. The next prime is 2185313051. The reversal of 2185313041 is 1403135812.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1838608641 + 346704400 = 42879^2 + 18620^2 .

It is a cyclic number.

It is not a de Polignac number, because 2185313041 - 23 = 2185313033 is a prime.

It is not a weakly prime, because it can be changed into another prime (2185313051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1092656520 + 1092656521.

It is an arithmetic number, because the mean of its divisors is an integer number (1092656521).

Almost surely, 22185313041 is an apocalyptic number.

It is an amenable number.

2185313041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2185313041 is an equidigital number, since it uses as much as digits as its factorization.

2185313041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2185313041 is about 46747.3319131691. The cubic root of 2185313041 is about 1297.6907803910.

Adding to 2185313041 its reverse (1403135812), we get a palindrome (3588448853).

The spelling of 2185313041 in words is "two billion, one hundred eighty-five million, three hundred thirteen thousand, forty-one".