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312403330334317 is a prime number
BaseRepresentation
bin100011100001000010001000…
…1100001111111111001101101
31111222010110121020012120110211
41013002010101201333321231
5311421404010031144232
63024232035251102421
7122542252516666105
oct10702042141777155
91458113536176424
10312403330334317
11905a55656aa132
122b055a372a1a11
131054167a3a6251
14572058aa0c205
15261b4da71da47
hex11c211187fe6d

312403330334317 has 2 divisors, whose sum is σ = 312403330334318. Its totient is φ = 312403330334316.

The previous prime is 312403330334281. The next prime is 312403330334321. The reversal of 312403330334317 is 713433033304213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307108310544036 + 5295019790281 = 17524506^2 + 2301091^2 .

It is an emirp because it is prime and its reverse (713433033304213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312403330334317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312403330334317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312403330334717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156201665167158 + 156201665167159.

It is an arithmetic number, because the mean of its divisors is an integer number (156201665167159).

Almost surely, 2312403330334317 is an apocalyptic number.

It is an amenable number.

312403330334317 is a deficient number, since it is larger than the sum of its proper divisors (1).

312403330334317 is an equidigital number, since it uses as much as digits as its factorization.

312403330334317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 489888, while the sum is 40.

The spelling of 312403330334317 in words is "three hundred twelve trillion, four hundred three billion, three hundred thirty million, three hundred thirty-four thousand, three hundred seventeen".