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312403330334321 is a prime number
BaseRepresentation
bin100011100001000010001000…
…1100001111111111001110001
31111222010110121020012120110222
41013002010101201333321301
5311421404010031144241
63024232035251102425
7122542252516666112
oct10702042141777161
91458113536176428
10312403330334321
11905a55656aa136
122b055a372a1a15
131054167a3a6255
14572058aa0c209
15261b4da71da4b
hex11c211187fe71

312403330334321 has 2 divisors, whose sum is σ = 312403330334322. Its totient is φ = 312403330334320.

The previous prime is 312403330334317. The next prime is 312403330334383. The reversal of 312403330334321 is 123433033304213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235998878685025 + 76404451649296 = 15362255^2 + 8740964^2 .

It is a cyclic number.

It is not a de Polignac number, because 312403330334321 - 22 = 312403330334317 is a prime.

It is not a weakly prime, because it can be changed into another prime (312403330331321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156201665167160 + 156201665167161.

It is an arithmetic number, because the mean of its divisors is an integer number (156201665167161).

Almost surely, 2312403330334321 is an apocalyptic number.

It is an amenable number.

312403330334321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312403330334321 is an equidigital number, since it uses as much as digits as its factorization.

312403330334321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 35.

Adding to 312403330334321 its reverse (123433033304213), we get a palindrome (435836363638534).

The spelling of 312403330334321 in words is "three hundred twelve trillion, four hundred three billion, three hundred thirty million, three hundred thirty-four thousand, three hundred twenty-one".