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313042253 is a prime number
BaseRepresentation
bin10010101010001…
…010010101001101
3210211001012020112
4102222022111031
51120114323003
651021325405
710520546426
oct2252122515
9724035215
10313042253
11150782307
1288a06865
134cb16304
142d80a64d
151c7383d8
hex12a8a54d

313042253 has 2 divisors, whose sum is σ = 313042254. Its totient is φ = 313042252.

The previous prime is 313042243. The next prime is 313042321. The reversal of 313042253 is 352240313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313042249 + 4 = 17693^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 313042253 - 26 = 313042189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313042243) 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 as a sum of consecutive naturals, namely, 156521126 + 156521127.

It is an arithmetic number, because the mean of its divisors is an integer number (156521127).

Almost surely, 2313042253 is an apocalyptic number.

It is an amenable number.

313042253 is a deficient number, since it is larger than the sum of its proper divisors (1).

313042253 is an equidigital number, since it uses as much as digits as its factorization.

313042253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 313042253 is about 17693.0001130391. Note that the first 3 decimals coincide. The cubic root of 313042253 is about 678.9966842989.

Adding to 313042253 its reverse (352240313), we get a palindrome (665282566).

The spelling of 313042253 in words is "three hundred thirteen million, forty-two thousand, two hundred fifty-three".