Search a number
-
+
312222112109 is a prime number
BaseRepresentation
bin1001000101100011110…
…00110101100101101101
31002211220021222122121222
410202301320311211231
520103412330041414
6355233255233125
731362104110265
oct4426170654555
91084807878558
10312222112109
1111045a273aa6
12506166787a5
1323599cc02cb
141117c45a7a5
1581c56a568e
hex48b1e3596d

312222112109 has 2 divisors, whose sum is σ = 312222112110. Its totient is φ = 312222112108.

The previous prime is 312222112021. The next prime is 312222112121. The reversal of 312222112109 is 901211222213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227295330025 + 84926782084 = 476755^2 + 291422^2 .

It is a cyclic number.

It is not a de Polignac number, because 312222112109 - 220 = 312221063533 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312222112129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111056054 + 156111056055.

It is an arithmetic number, because the mean of its divisors is an integer number (156111056055).

Almost surely, 2312222112109 is an apocalyptic number.

It is an amenable number.

312222112109 is a deficient number, since it is larger than the sum of its proper divisors (1).

312222112109 is an equidigital number, since it uses as much as digits as its factorization.

312222112109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 312222112109 in words is "three hundred twelve billion, two hundred twenty-two million, one hundred twelve thousand, one hundred nine".