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205303031233 is a prime number
BaseRepresentation
bin1011111100110100000…
…0111010010111000001
3201121220220212120202121
42333031000322113001
511330430033444413
6234152004244241
720555412654316
oct2771500722701
9647826776677
10205303031233
117a083233043
12339576a0681
131648ab9a491
149d18504d0d
155518cd7b8d
hex2fcd03a5c1

205303031233 has 2 divisors, whose sum is σ = 205303031234. Its totient is φ = 205303031232.

The previous prime is 205303031221. The next prime is 205303031279. The reversal of 205303031233 is 332130303502.

It is a happy number.

205303031233 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., 197613144369 + 7689886864 = 444537^2 + 87692^2 .

It is a cyclic number.

It is not a de Polignac number, because 205303031233 - 213 = 205303023041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205303031198 and 205303031207.

It is not a weakly prime, because it can be changed into another prime (205303031203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102651515616 + 102651515617.

It is an arithmetic number, because the mean of its divisors is an integer number (102651515617).

Almost surely, 2205303031233 is an apocalyptic number.

It is an amenable number.

205303031233 is a deficient number, since it is larger than the sum of its proper divisors (1).

205303031233 is an equidigital number, since it uses as much as digits as its factorization.

205303031233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 25.

Adding to 205303031233 its reverse (332130303502), we get a palindrome (537433334735).

The spelling of 205303031233 in words is "two hundred five billion, three hundred three million, thirty-one thousand, two hundred thirty-three".