Search a number
-
+
247100033 is a prime number
BaseRepresentation
bin11101011101001…
…11001010000001
3122012221222112002
432232213022001
51001224200113
640304113345
76060213155
oct1656471201
9565858462
10247100033
11117532a04
126a905855
133c26874b
1424b63065
1516a5ec58
hexeba7281

247100033 has 2 divisors, whose sum is σ = 247100034. Its totient is φ = 247100032.

The previous prime is 247099991. The next prime is 247100053. The reversal of 247100033 is 330001742.

247100033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (247100053) can be obtained adding 247100033 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241087729 + 6012304 = 15527^2 + 2452^2 .

It is a cyclic number.

It is not a de Polignac number, because 247100033 - 26 = 247099969 is a prime.

It is a super-2 number, since 2×2471000332 = 122116852617202178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247099978 and 247100014.

It is not a weakly prime, because it can be changed into another prime (247100053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123550016 + 123550017.

It is an arithmetic number, because the mean of its divisors is an integer number (123550017).

Almost surely, 2247100033 is an apocalyptic number.

It is an amenable number.

247100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

247100033 is an equidigital number, since it uses as much as digits as its factorization.

247100033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 247100033 is about 15719.4157970327. The cubic root of 247100033 is about 627.5152257381.

Adding to 247100033 its reverse (330001742), we get a palindrome (577101775).

The spelling of 247100033 in words is "two hundred forty-seven million, one hundred thousand, thirty-three".