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312435313 is a prime number
BaseRepresentation
bin10010100111110…
…110001001110001
3210202220100200021
4102213312021301
51114440412223
651000323441
710512441061
oct2247661161
9722810607
10312435313
111503a8303
1288773581
134c962c88
142d6cd3a1
151c66865d
hex129f6271

312435313 has 2 divisors, whose sum is σ = 312435314. Its totient is φ = 312435312.

The previous prime is 312435307. The next prime is 312435341. The reversal of 312435313 is 313534213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175615504 + 136819809 = 13252^2 + 11697^2 .

It is a cyclic number.

It is not a de Polignac number, because 312435313 - 225 = 278880881 is a prime.

It is not a weakly prime, because it can be changed into another prime (312435353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156217656 + 156217657.

It is an arithmetic number, because the mean of its divisors is an integer number (156217657).

Almost surely, 2312435313 is an apocalyptic number.

It is an amenable number.

312435313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312435313 is an equidigital number, since it uses as much as digits as its factorization.

312435313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 25.

The square root of 312435313 is about 17675.8398103174. The cubic root of 312435313 is about 678.5575775756.

Adding to 312435313 its reverse (313534213), we get a palindrome (625969526).

The spelling of 312435313 in words is "three hundred twelve million, four hundred thirty-five thousand, three hundred thirteen".