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312045912469 is a prime number
BaseRepresentation
bin1001000101001110110…
…00101100000110010101
31002211110000102210011101
410202213120230012111
520103032223144334
6355204002510101
731354534330564
oct4424730540625
91084400383141
10312045912469
11110379867665
1250587665331
132356c64a175
1411162cb1bdb
1581b4e9d214
hex48a762c195

312045912469 has 2 divisors, whose sum is σ = 312045912470. Its totient is φ = 312045912468.

The previous prime is 312045912467. The next prime is 312045912527. The reversal of 312045912469 is 964219540213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196896312900 + 115149599569 = 443730^2 + 339337^2 .

It is an emirp because it is prime and its reverse (964219540213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312045912469 - 21 = 312045912467 is a prime.

It is a super-3 number, since 3×3120459124693 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 312045912467, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312045912467) 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, 156022956234 + 156022956235.

It is an arithmetic number, because the mean of its divisors is an integer number (156022956235).

Almost surely, 2312045912469 is an apocalyptic number.

It is an amenable number.

312045912469 is a deficient number, since it is larger than the sum of its proper divisors (1).

312045912469 is an equidigital number, since it uses as much as digits as its factorization.

312045912469 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 312045912469 in words is "three hundred twelve billion, forty-five million, nine hundred twelve thousand, four hundred sixty-nine".