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1023411312449 is a prime number
BaseRepresentation
bin11101110010010000001…
…00010101011101000001
310121211121021221022200022
432321020010111131001
5113231421243444244
62102052040103225
7133640041424201
oct16711004253501
93554537838608
101023411312449
113650320074a9
12146416464b15
137567962a346
1437767802401
151b94bc216ee
hexee48115741

1023411312449 has 2 divisors, whose sum is σ = 1023411312450. Its totient is φ = 1023411312448.

The previous prime is 1023411312421. The next prime is 1023411312541. The reversal of 1023411312449 is 9442131143201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 966029505424 + 57381807025 = 982868^2 + 239545^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023411312449 - 28 = 1023411312193 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023411312419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511705656224 + 511705656225.

It is an arithmetic number, because the mean of its divisors is an integer number (511705656225).

Almost surely, 21023411312449 is an apocalyptic number.

It is an amenable number.

1023411312449 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023411312449 is an equidigital number, since it uses as much as digits as its factorization.

1023411312449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 1023411312449 in words is "one trillion, twenty-three billion, four hundred eleven million, three hundred twelve thousand, four hundred forty-nine".