Search a number
-
+
135135233 is a prime number
BaseRepresentation
bin10000000111000…
…00000000000001
3100102021120200122
420003200000001
5234043311413
621224230025
73230426162
oct1003400001
9312246618
10135135233
116a30a112
123930b315
1321cc5c9c
1413d39769
15bce5108
hex80e0001

135135233 has 2 divisors, whose sum is σ = 135135234. Its totient is φ = 135135232.

The previous prime is 135135229. The next prime is 135135251. The reversal of 135135233 is 332531531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130347889 + 4787344 = 11417^2 + 2188^2 .

It is a cyclic number.

It is not a de Polignac number, because 135135233 - 22 = 135135229 is a prime.

It is not a weakly prime, because it can be changed into another prime (135135263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67567616 + 67567617.

It is an arithmetic number, because the mean of its divisors is an integer number (67567617).

It is a Proth number, since it is equal to 1031 ⋅ 217 + 1 and 1031 < 217.

Almost surely, 2135135233 is an apocalyptic number.

It is an amenable number.

135135233 is a deficient number, since it is larger than the sum of its proper divisors (1).

135135233 is an equidigital number, since it uses as much as digits as its factorization.

135135233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4050, while the sum is 26.

The square root of 135135233 is about 11624.7680837082. The cubic root of 135135233 is about 513.1640195625.

Adding to 135135233 its reverse (332531531), we get a palindrome (467666764).

The spelling of 135135233 in words is "one hundred thirty-five million, one hundred thirty-five thousand, two hundred thirty-three".