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312223110233 is a prime number
BaseRepresentation
bin1001000101100011111…
…00101001010001011001
31002211220100212100210112
410202301330221101121
520103413104011413
6355233332454105
731362115435256
oct4426174512131
91084810770715
10312223110233
1111045a8959a1
1250616a7a335
132359a27c708
141117c63a42d
1581c58012a8
hex48b1f29459

312223110233 has 2 divisors, whose sum is σ = 312223110234. Its totient is φ = 312223110232.

The previous prime is 312223110217. The next prime is 312223110259. The reversal of 312223110233 is 332011322213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288183227929 + 24039882304 = 536827^2 + 155048^2 .

It is a cyclic number.

It is not a de Polignac number, because 312223110233 - 24 = 312223110217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312223110199 and 312223110208.

It is not a weakly prime, because it can be changed into another prime (312223110733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111555116 + 156111555117.

It is an arithmetic number, because the mean of its divisors is an integer number (156111555117).

Almost surely, 2312223110233 is an apocalyptic number.

It is an amenable number.

312223110233 is a deficient number, since it is larger than the sum of its proper divisors (1).

312223110233 is an equidigital number, since it uses as much as digits as its factorization.

312223110233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 312223110233 its reverse (332011322213), we get a palindrome (644234432446).

The spelling of 312223110233 in words is "three hundred twelve billion, two hundred twenty-three million, one hundred ten thousand, two hundred thirty-three".