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1003144345001 is a prime number
BaseRepresentation
bin11101001100100000000…
…11111111010110101001
310112220021212001200221022
432212100003333112221
5112413414423020001
62044501012422225
7132321565146431
oct16462003772651
93486255050838
101003144345001
11357481915927
121424bb017975
137379984c006
14367a3ca52c1
151b16281e11b
hexe9900ff5a9

1003144345001 has 2 divisors, whose sum is σ = 1003144345002. Its totient is φ = 1003144345000.

The previous prime is 1003144344989. The next prime is 1003144345009. The reversal of 1003144345001 is 1005434413001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 858774743401 + 144369601600 = 926701^2 + 379960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003144345001 is a prime.

It is a super-3 number, since 3×10031443450013 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1003144345009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501572172500 + 501572172501.

It is an arithmetic number, because the mean of its divisors is an integer number (501572172501).

Almost surely, 21003144345001 is an apocalyptic number.

It is an amenable number.

1003144345001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003144345001 is an equidigital number, since it uses as much as digits as its factorization.

1003144345001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1003144345001 its reverse (1005434413001), we get a palindrome (2008578758002).

The spelling of 1003144345001 in words is "one trillion, three billion, one hundred forty-four million, three hundred forty-five thousand, one".