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312122043209 is a prime number
BaseRepresentation
bin1001000101010111110…
…11000110101101001001
31002211122022200121220102
410202223323012231021
520103211220340314
6355215322335145
731356450410234
oct4425373065511
91084568617812
10312122043209
11110408835829
12505a905a4b5
1323582354342
141116d04c41b
1581bb9da5de
hex48abec6b49

312122043209 has 2 divisors, whose sum is σ = 312122043210. Its totient is φ = 312122043208.

The previous prime is 312122043173. The next prime is 312122043223. The reversal of 312122043209 is 902340221213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245746249984 + 66375793225 = 495728^2 + 257635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312122043209 is a prime.

It is not a weakly prime, because it can be changed into another prime (312122043509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061021604 + 156061021605.

It is an arithmetic number, because the mean of its divisors is an integer number (156061021605).

Almost surely, 2312122043209 is an apocalyptic number.

It is an amenable number.

312122043209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312122043209 is an equidigital number, since it uses as much as digits as its factorization.

312122043209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 312122043209 in words is "three hundred twelve billion, one hundred twenty-two million, forty-three thousand, two hundred nine".