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312239488829 is a prime number
BaseRepresentation
bin1001000101100101110…
…11000111111100111101
31002211221111200111000012
410202302323013330331
520103431302120304
6355235115513005
731362404602262
oct4426273077475
91084844614005
10312239488829
11110469062424
1250620458765
13235a07956a8
14111808a1269
1581c6e8916e
hex48b2ec7f3d

312239488829 has 2 divisors, whose sum is σ = 312239488830. Its totient is φ = 312239488828.

The previous prime is 312239488721. The next prime is 312239488831. The reversal of 312239488829 is 928884932213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279550125625 + 32689363204 = 528725^2 + 180802^2 .

It is a cyclic number.

It is not a de Polignac number, because 312239488829 - 28 = 312239488573 is a prime.

Together with 312239488831, 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 (312239488889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156119744414 + 156119744415.

It is an arithmetic number, because the mean of its divisors is an integer number (156119744415).

Almost surely, 2312239488829 is an apocalyptic number.

It is an amenable number.

312239488829 is a deficient number, since it is larger than the sum of its proper divisors (1).

312239488829 is an equidigital number, since it uses as much as digits as its factorization.

312239488829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11943936, while the sum is 59.

The spelling of 312239488829 in words is "three hundred twelve billion, two hundred thirty-nine million, four hundred eighty-eight thousand, eight hundred twenty-nine".