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312300020303213 is a prime number
BaseRepresentation
bin100011100000010010000001…
…1110001100000010101101101
31111221202120221101011020011112
41013000210003301200111231
5311413210420144200323
63024112352042401405
7122531634431136125
oct10700440361402555
91457676841136145
10312300020303213
11905657708a8738
122b039a04b00265
13105349c4bb1727
14571958a11dc85
152618990aee178
hex11c0903c6056d

312300020303213 has 2 divisors, whose sum is σ = 312300020303214. Its totient is φ = 312300020303212.

The previous prime is 312300020303143. The next prime is 312300020303267. The reversal of 312300020303213 is 312303020003213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273020996082409 + 39279024220804 = 16523347^2 + 6267298^2 .

It is a cyclic number.

It is not a de Polignac number, because 312300020303213 - 28 = 312300020302957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312300020303273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156150010151606 + 156150010151607.

It is an arithmetic number, because the mean of its divisors is an integer number (156150010151607).

Almost surely, 2312300020303213 is an apocalyptic number.

It is an amenable number.

312300020303213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312300020303213 is an equidigital number, since it uses as much as digits as its factorization.

312300020303213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 312300020303213 its reverse (312303020003213), we get a palindrome (624603040306426).

The spelling of 312300020303213 in words is "three hundred twelve trillion, three hundred billion, twenty million, three hundred three thousand, two hundred thirteen".