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2248412329313 is a prime number
BaseRepresentation
bin100000101101111111110…
…100010111010101100001
321221221112201110200100022
4200231333310113111201
5243314222024014223
64440523435203225
7321304516315223
oct40557764272541
97857481420308
102248412329313
117976011645a7
123039108a6515
13134041716347
147ab7649a413
153d746730ac8
hex20b7fd17561

2248412329313 has 2 divisors, whose sum is σ = 2248412329314. Its totient is φ = 2248412329312.

The previous prime is 2248412329307. The next prime is 2248412329351. The reversal of 2248412329313 is 3139232148422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1898685573184 + 349726756129 = 1377928^2 + 591377^2 .

It is a cyclic number.

It is not a de Polignac number, because 2248412329313 - 26 = 2248412329249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2248412389313) 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, 1124206164656 + 1124206164657.

It is an arithmetic number, because the mean of its divisors is an integer number (1124206164657).

Almost surely, 22248412329313 is an apocalyptic number.

It is an amenable number.

2248412329313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2248412329313 is an equidigital number, since it uses as much as digits as its factorization.

2248412329313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 497664, while the sum is 44.

The spelling of 2248412329313 in words is "two trillion, two hundred forty-eight billion, four hundred twelve million, three hundred twenty-nine thousand, three hundred thirteen".