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312423311 is a prime number
BaseRepresentation
bin10010100111110…
…011001110001111
3210202212202012202
4102213303032033
51114440021221
651000152115
710512361064
oct2247631617
9722782182
10312423311
1115039a292
128876863b
134c95a685
142d6c8c6b
151c664d0b
hex129f338f

312423311 has 2 divisors, whose sum is σ = 312423312. Its totient is φ = 312423310.

The previous prime is 312423299. The next prime is 312423313. The reversal of 312423311 is 113324213.

It is a strong prime.

It is an emirp because it is prime and its reverse (113324213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312423311 is a prime.

It is a super-3 number, since 3×3124233113 (a number of 26 digits) contains 333 as substring.

Together with 312423313, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312423313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156211655 + 156211656.

It is an arithmetic number, because the mean of its divisors is an integer number (156211656).

Almost surely, 2312423311 is an apocalyptic number.

312423311 is a deficient number, since it is larger than the sum of its proper divisors (1).

312423311 is an equidigital number, since it uses as much as digits as its factorization.

312423311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 20.

The square root of 312423311 is about 17675.5003040932. The cubic root of 312423311 is about 678.5488886812.

Adding to 312423311 its reverse (113324213), we get a palindrome (425747524).

The spelling of 312423311 in words is "three hundred twelve million, four hundred twenty-three thousand, three hundred eleven".