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312083279 is a prime number
BaseRepresentation
bin10010100110100…
…000001101001111
3210202020110202222
4102212200031033
51114343131104
650545005555
710506443534
oct2246401517
9722213688
10312083279
11150187872
12886238bb
134c86b981
142d63ad8b
151c5e91be
hex129a034f

312083279 has 2 divisors, whose sum is σ = 312083280. Its totient is φ = 312083278.

The previous prime is 312083257. The next prime is 312083333. The reversal of 312083279 is 972380213.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312083279 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312083179) 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, 156041639 + 156041640.

It is an arithmetic number, because the mean of its divisors is an integer number (156041640).

Almost surely, 2312083279 is an apocalyptic number.

312083279 is a deficient number, since it is larger than the sum of its proper divisors (1).

312083279 is an equidigital number, since it uses as much as digits as its factorization.

312083279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 312083279 is about 17665.8789478475. The cubic root of 312083279 is about 678.3026286827.

The spelling of 312083279 in words is "three hundred twelve million, eighty-three thousand, two hundred seventy-nine".