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312323313331 is a prime number
BaseRepresentation
bin1001000101101111110…
…10111000111010110011
31002212011100102012121101
410202313322320322303
520104114232011311
6355251312305231
731364443234501
oct4426772707263
91085140365541
10312323313331
11110501405a77
1250644542217
13235b4c647a3
141118ba81671
1581ce4e5ec1
hex48b7eb8eb3

312323313331 has 2 divisors, whose sum is σ = 312323313332. Its totient is φ = 312323313330.

The previous prime is 312323313317. The next prime is 312323313371. The reversal of 312323313331 is 133313323213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312323313331 - 219 = 312322789043 is a prime.

It is a super-2 number, since 2×3123233133312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312323313331.

It is not a weakly prime, because it can be changed into another prime (312323313311) 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, 156161656665 + 156161656666.

It is an arithmetic number, because the mean of its divisors is an integer number (156161656666).

Almost surely, 2312323313331 is an apocalyptic number.

312323313331 is a deficient number, since it is larger than the sum of its proper divisors (1).

312323313331 is an equidigital number, since it uses as much as digits as its factorization.

312323313331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 28.

Adding to 312323313331 its reverse (133313323213), we get a palindrome (445636636544).

The spelling of 312323313331 in words is "three hundred twelve billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred thirty-one".