Search a number
-
+
302053210133 is a prime number
BaseRepresentation
bin1000110010100111100…
…01100011100000010101
31001212122121101220112212
410121103301203200111
514422101110211013
6350432240323205
730552105631613
oct4312361434025
91055577356485
10302053210133
11107111187484
124a659013505
132263931654c
1410895acc6b3
157ccca826a8
hex4653c63815

302053210133 has 2 divisors, whose sum is σ = 302053210134. Its totient is φ = 302053210132.

The previous prime is 302053210097. The next prime is 302053210139. The reversal of 302053210133 is 331012350203.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 288732126244 + 13321083889 = 537338^2 + 115417^2 .

It is a cyclic number.

It is not a de Polignac number, because 302053210133 - 226 = 301986101269 is a prime.

It is a super-2 number, since 2×3020532101332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 302053210099 and 302053210108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (302053210139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 151026605066 + 151026605067.

It is an arithmetic number, because the mean of its divisors is an integer number (151026605067).

Almost surely, 2302053210133 is an apocalyptic number.

It is an amenable number.

302053210133 is a deficient number, since it is larger than the sum of its proper divisors (1).

302053210133 is an equidigital number, since it uses as much as digits as its factorization.

302053210133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 302053210133 its reverse (331012350203), we get a palindrome (633065560336).

The spelling of 302053210133 in words is "three hundred two billion, fifty-three million, two hundred ten thousand, one hundred thirty-three".