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218135033 is a prime number
BaseRepresentation
bin11010000000001…
…11100111111001
3120012110102000022
431000013213321
5421320310113
633351220225
75256055124
oct1500074771
9505412008
10218135033
1110214a096
1261077675
13362668ac
1420d833bb
151423c908
hexd0079f9

218135033 has 2 divisors, whose sum is σ = 218135034. Its totient is φ = 218135032.

The previous prime is 218135011. The next prime is 218135081. The reversal of 218135033 is 330531812.

218135033 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., 218093824 + 41209 = 14768^2 + 203^2 .

It is a cyclic number.

It is not a de Polignac number, because 218135033 - 210 = 218134009 is a prime.

It is a super-2 number, since 2×2181350332 = 95165785243822178, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 218134993 and 218135011.

It is not a weakly prime, because it can be changed into another prime (218135633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109067516 + 109067517.

It is an arithmetic number, because the mean of its divisors is an integer number (109067517).

Almost surely, 2218135033 is an apocalyptic number.

It is an amenable number.

218135033 is a deficient number, since it is larger than the sum of its proper divisors (1).

218135033 is an equidigital number, since it uses as much as digits as its factorization.

218135033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 218135033 is about 14769.3951467215. The cubic root of 218135033 is about 601.9704045008.

Adding to 218135033 its reverse (330531812), we get a palindrome (548666845).

The spelling of 218135033 in words is "two hundred eighteen million, one hundred thirty-five thousand, thirty-three".