Search a number
-
+
42133110241 is a prime number
BaseRepresentation
bin100111001111010101…
…000011110111100001
311000202022212202122111
4213033111003313201
51142242034011431
631204454435321
73021045346045
oct471725036741
9130668782574
1042133110241
1116961051372
1281ba362b41
133c85c93c81
1420799d6025
151168dde7b1
hex9cf543de1

42133110241 has 2 divisors, whose sum is σ = 42133110242. Its totient is φ = 42133110240.

The previous prime is 42133110221. The next prime is 42133110251. The reversal of 42133110241 is 14201133124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41808389841 + 324720400 = 204471^2 + 18020^2 .

It is a cyclic number.

It is not a de Polignac number, because 42133110241 - 25 = 42133110209 is a prime.

It is not a weakly prime, because it can be changed into another prime (42133110221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21066555120 + 21066555121.

It is an arithmetic number, because the mean of its divisors is an integer number (21066555121).

Almost surely, 242133110241 is an apocalyptic number.

It is an amenable number.

42133110241 is a deficient number, since it is larger than the sum of its proper divisors (1).

42133110241 is an equidigital number, since it uses as much as digits as its factorization.

42133110241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 42133110241 its reverse (14201133124), we get a palindrome (56334243365).

The spelling of 42133110241 in words is "forty-two billion, one hundred thirty-three million, one hundred ten thousand, two hundred forty-one".