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312233111233 is a prime number
BaseRepresentation
bin1001000101100101000…
…10110010111011000001
31002211221001200110120221
410202302202302323001
520103423134024413
6355234331103041
731362266440561
oct4426242627301
91084831613527
10312233111233
111104654a688a
125061a2a1a81
132359c371874
141117dac0da1
1581c662968d
hex48b28b2ec1

312233111233 has 2 divisors, whose sum is σ = 312233111234. Its totient is φ = 312233111232.

The previous prime is 312233111189. The next prime is 312233111273. The reversal of 312233111233 is 332111332213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234209538304 + 78023572929 = 483952^2 + 279327^2 .

It is an emirp because it is prime and its reverse (332111332213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312233111233 - 213 = 312233103041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312233111198 and 312233111207.

It is not a weakly prime, because it can be changed into another prime (312233111273) 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, 156116555616 + 156116555617.

It is an arithmetic number, because the mean of its divisors is an integer number (156116555617).

Almost surely, 2312233111233 is an apocalyptic number.

It is an amenable number.

312233111233 is a deficient number, since it is larger than the sum of its proper divisors (1).

312233111233 is an equidigital number, since it uses as much as digits as its factorization.

312233111233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

Adding to 312233111233 its reverse (332111332213), we get a palindrome (644344443446).

The spelling of 312233111233 in words is "three hundred twelve billion, two hundred thirty-three million, one hundred eleven thousand, two hundred thirty-three".