Search a number
-
+
20441312257 is a prime number
BaseRepresentation
bin10011000010011001…
…011010110000000001
31221202120221020212011
4103002121122300001
5313330433443012
613220212132521
71322361200362
oct230231326001
957676836764
1020441312257
11873a6514a3
123b65907141
131c09c52152
14dbcb61b69
157e98901a7
hex4c265ac01

20441312257 has 2 divisors, whose sum is σ = 20441312258. Its totient is φ = 20441312256.

The previous prime is 20441312249. The next prime is 20441312267. The reversal of 20441312257 is 75221314402.

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., 12572912641 + 7868399616 = 112129^2 + 88704^2 .

It is a cyclic number.

It is not a de Polignac number, because 20441312257 - 23 = 20441312249 is a prime.

It is not a weakly prime, because it can be changed into another prime (20441312267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10220656128 + 10220656129.

It is an arithmetic number, because the mean of its divisors is an integer number (10220656129).

Almost surely, 220441312257 is an apocalyptic number.

It is an amenable number.

20441312257 is a deficient number, since it is larger than the sum of its proper divisors (1).

20441312257 is an equidigital number, since it uses as much as digits as its factorization.

20441312257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 20441312257 its reverse (75221314402), we get a palindrome (95662626659).

The spelling of 20441312257 in words is "twenty billion, four hundred forty-one million, three hundred twelve thousand, two hundred fifty-seven".