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312130213289 is a prime number
BaseRepresentation
bin1001000101011000110…
…10010001010110101001
31002211122220001201010222
410202230122101112221
520103220313311124
6355220213415425
731356610015556
oct4425432212651
91084586051128
10312130213289
11110412406064
12505ab93a575
1323583c54ccb
1411170177a2d
1581bc5a125e
hex48ac6915a9

312130213289 has 2 divisors, whose sum is σ = 312130213290. Its totient is φ = 312130213288.

The previous prime is 312130213273. The next prime is 312130213303. The reversal of 312130213289 is 982312031213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164923707664 + 147206505625 = 406108^2 + 383675^2 .

It is an emirp because it is prime and its reverse (982312031213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312130213289 - 24 = 312130213273 is a prime.

It is not a weakly prime, because it can be changed into another prime (312130213789) 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, 156065106644 + 156065106645.

It is an arithmetic number, because the mean of its divisors is an integer number (156065106645).

Almost surely, 2312130213289 is an apocalyptic number.

It is an amenable number.

312130213289 is a deficient number, since it is larger than the sum of its proper divisors (1).

312130213289 is an equidigital number, since it uses as much as digits as its factorization.

312130213289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 312130213289 in words is "three hundred twelve billion, one hundred thirty million, two hundred thirteen thousand, two hundred eighty-nine".