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302333141 = 1126140961
BaseRepresentation
bin10010000001010…
…011110011010101
3210001220010002202
4102001103303111
51104344130031
650000014245
710330534505
oct2201236325
9701803082
10302333141
11145728400
1285301385
134a836a66
142c21da05
151b8202cb
hex12053cd5

302333141 has 12 divisors (see below), whose sum is σ = 337772652. Its totient is φ = 270336000.

The previous prime is 302333113. The next prime is 302333153. The reversal of 302333141 is 141333203.

It can be written as a sum of positive squares in 2 ways, for example, as 132135025 + 170198116 = 11495^2 + 13046^2 .

It is not a de Polignac number, because 302333141 - 214 = 302316757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302332141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13100 + ... + 27861.

It is an arithmetic number, because the mean of its divisors is an integer number (28147721).

Almost surely, 2302333141 is an apocalyptic number.

It is an amenable number.

302333141 is a deficient number, since it is larger than the sum of its proper divisors (35439511).

302333141 is a wasteful number, since it uses less digits than its factorization.

302333141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41044 (or 41033 counting only the distinct ones).

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

The square root of 302333141 is about 17387.7296102740. The cubic root of 302333141 is about 671.1638943911.

Adding to 302333141 its reverse (141333203), we get a palindrome (443666344).

The spelling of 302333141 in words is "three hundred two million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 11 61 121 671 7381 40961 450571 2498621 4956281 27484831 302333141