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1001311349 is a prime number
BaseRepresentation
bin111011101011101…
…100110001110101
32120210010212221112
4323223230301311
54022313430344
6243205324405
733546002033
oct7353546165
92523125845
101001311349
1147423a045
1223b406705
1312c5a902c
1496dad553
155cd8ec9e
hex3baecc75

1001311349 has 2 divisors, whose sum is σ = 1001311350. Its totient is φ = 1001311348.

The previous prime is 1001311291. The next prime is 1001311357. The reversal of 1001311349 is 9431131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000140625 + 1170724 = 31625^2 + 1082^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001311349 - 228 = 732875893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001317349) 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, 500655674 + 500655675.

It is an arithmetic number, because the mean of its divisors is an integer number (500655675).

Almost surely, 21001311349 is an apocalyptic number.

It is an amenable number.

1001311349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001311349 is an equidigital number, since it uses as much as digits as its factorization.

1001311349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1001311349 is about 31643.5040569151. The cubic root of 1001311349 is about 1000.4369254017.

The spelling of 1001311349 in words is "one billion, one million, three hundred eleven thousand, three hundred forty-nine".