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312001024399 is a prime number
BaseRepresentation
bin1001000101001001011…
…01011101000110001111
31002211022212222020022021
410202210231131012033
520102434230240044
6355155320431011
731353450643561
oct4424455350617
91084285866267
10312001024399
11110356498589
1250574618467
132356326178c
141115ad49331
1581b1082e84
hex48a4b5d18f

312001024399 has 2 divisors, whose sum is σ = 312001024400. Its totient is φ = 312001024398.

The previous prime is 312001024373. The next prime is 312001024481. The reversal of 312001024399 is 993420100213.

It is a weak prime.

It is an emirp because it is prime and its reverse (993420100213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312001024399 - 217 = 312000893327 is a prime.

It is a super-4 number, since 4×3120010243994 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312001024199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000512199 + 156000512200.

It is an arithmetic number, because the mean of its divisors is an integer number (156000512200).

Almost surely, 2312001024399 is an apocalyptic number.

312001024399 is a deficient number, since it is larger than the sum of its proper divisors (1).

312001024399 is an equidigital number, since it uses as much as digits as its factorization.

312001024399 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 312001024399 in words is "three hundred twelve billion, one million, twenty-four thousand, three hundred ninety-nine".