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203330022113 is a prime number
BaseRepresentation
bin1011110101011101101…
…0011110101011100001
3201102211102022100001202
42331113122132223201
511312404441201423
6233224124010545
720455464446201
oct2752732365341
9642742270052
10203330022113
1179260551099
12334a6990a55
13162351b356a
149bac474401
1554509a7728
hex2f5769eae1

203330022113 has 2 divisors, whose sum is σ = 203330022114. Its totient is φ = 203330022112.

The previous prime is 203330022079. The next prime is 203330022139. The reversal of 203330022113 is 311220033302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178483435729 + 24846586384 = 422473^2 + 157628^2 .

It is a cyclic number.

It is not a de Polignac number, because 203330022113 - 214 = 203330005729 is a prime.

It is a super-4 number, since 4×2033300221134 (a number of 46 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (203330022143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101665011056 + 101665011057.

It is an arithmetic number, because the mean of its divisors is an integer number (101665011057).

Almost surely, 2203330022113 is an apocalyptic number.

It is an amenable number.

203330022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

203330022113 is an equidigital number, since it uses as much as digits as its factorization.

203330022113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 203330022113 its reverse (311220033302), we get a palindrome (514550055415).

The spelling of 203330022113 in words is "two hundred three billion, three hundred thirty million, twenty-two thousand, one hundred thirteen".