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2135313 = 32237257
BaseRepresentation
bin1000001001010100010001
311000111002200
420021110101
51021312223
6113433413
724102255
oct10112421
94014080
102135313
111229324
1286b869
13599bcb
143d8265
152c2a43
hex209511

2135313 has 6 divisors (see below), whose sum is σ = 3084354. Its totient is φ = 1423536.

The previous prime is 2135303. The next prime is 2135333. The reversal of 2135313 is 3135312.

It can be written as a sum of positive squares in only one way, i.e., 1830609 + 304704 = 1353^2 + 552^2 .

It is not a de Polignac number, because 2135313 - 28 = 2135057 is a prime.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2135303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118620 + ... + 118637.

It is an arithmetic number, because the mean of its divisors is an integer number (514059).

22135313 is an apocalyptic number.

It is an amenable number.

2135313 is a deficient number, since it is larger than the sum of its proper divisors (949041).

2135313 is a wasteful number, since it uses less digits than its factorization.

2135313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237263 (or 237260 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 2135313 is about 1461.2710220900. The cubic root of 2135313 is about 128.7717253689.

Subtracting 2135313 from its reverse (3135312), we obtain a palindrome (999999).

The spelling of 2135313 in words is "two million, one hundred thirty-five thousand, three hundred thirteen".

Divisors: 1 3 9 237257 711771 2135313