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312033122213 is a prime number
BaseRepresentation
bin1001000101001101001…
…11111001011110100101
31002211102010100222020012
410202212213321132211
520103020434402323
6355202424420005
731354320530321
oct4424647713645
91084363328205
10312033122213
111103726210aa
1250583317605
1323569abc577
1411161302981
1581b3cc3678
hex48a69f97a5

312033122213 has 2 divisors, whose sum is σ = 312033122214. Its totient is φ = 312033122212.

The previous prime is 312033122209. The next prime is 312033122221. The reversal of 312033122213 is 312221330213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303399367489 + 8633754724 = 550817^2 + 92918^2 .

It is a cyclic number.

It is not a de Polignac number, because 312033122213 - 22 = 312033122209 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 (312033122113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156016561106 + 156016561107.

It is an arithmetic number, because the mean of its divisors is an integer number (156016561107).

Almost surely, 2312033122213 is an apocalyptic number.

It is an amenable number.

312033122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312033122213 is an equidigital number, since it uses as much as digits as its factorization.

312033122213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 312033122213 its reverse (312221330213), we get a palindrome (624254452426).

The spelling of 312033122213 in words is "three hundred twelve billion, thirty-three million, one hundred twenty-two thousand, two hundred thirteen".