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3138144001 is a prime number
BaseRepresentation
bin1011101100001100…
…0100011100000001
322002200222020021121
42323003010130001
522411331102001
61235221152241
7140523532606
oct27303043401
98080866247
103138144001
111370445043
12736b5b681
133b01c1b55
1421aac66ad
151357806a1
hexbb0c4701

3138144001 has 2 divisors, whose sum is σ = 3138144002. Its totient is φ = 3138144000.

The previous prime is 3138143993. The next prime is 3138144013. The reversal of 3138144001 is 1004418313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1646330625 + 1491813376 = 40575^2 + 38624^2 .

It is an emirp because it is prime and its reverse (1004418313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3138144001 - 23 = 3138143993 is a prime.

It is not a weakly prime, because it can be changed into another prime (3138144041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1569072000 + 1569072001.

It is an arithmetic number, because the mean of its divisors is an integer number (1569072001).

Almost surely, 23138144001 is an apocalyptic number.

It is an amenable number.

3138144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3138144001 is an equidigital number, since it uses as much as digits as its factorization.

3138144001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3138144001 is about 56019.1395953205. The cubic root of 3138144001 is about 1464.0557775401.

The spelling of 3138144001 in words is "three billion, one hundred thirty-eight million, one hundred forty-four thousand, one".