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1000038000349 is a prime number
BaseRepresentation
bin11101000110101101110…
…10001110011011011101
310112121021100221001011101
432203112322032123131
5112341034212002344
62043224444553101
7132151605515143
oct16432672163335
93477240831141
101000038000349
11356128420143
12141992852791
13733c311215b
143658b4d9593
151b02ec709d4
hexe8d6e8e6dd

1000038000349 has 2 divisors, whose sum is σ = 1000038000350. Its totient is φ = 1000038000348.

The previous prime is 1000038000347. The next prime is 1000038000397. The reversal of 1000038000349 is 9430008300001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 882694072324 + 117343928025 = 939518^2 + 342555^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000038000349 - 21 = 1000038000347 is a prime.

It is a super-3 number, since 3×10000380003493 (a number of 37 digits) contains 333 as substring.

Together with 1000038000347, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000038000341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500019000174 + 500019000175.

It is an arithmetic number, because the mean of its divisors is an integer number (500019000175).

Almost surely, 21000038000349 is an apocalyptic number.

It is an amenable number.

1000038000349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000038000349 is an equidigital number, since it uses as much as digits as its factorization.

1000038000349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 1000038000349 in words is "one trillion, thirty-eight million, three hundred forty-nine", and thus it is an aban number.