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13738842001 is a prime number
BaseRepresentation
bin11001100101110011…
…00001011110010001
31022110111001111011001
430302321201132101
5211114120421001
610151143022001
7664314141643
oct146271413621
938414044131
1013738842001
115910244385
1227b513a901
1313ac490811
14944934893
15556248001
hex332e61791

13738842001 has 2 divisors, whose sum is σ = 13738842002. Its totient is φ = 13738842000.

The previous prime is 13738841999. The next prime is 13738842041. The reversal of 13738842001 is 10024883731.

13738842001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8873640000 + 4865202001 = 94200^2 + 69751^2 .

It is a cyclic number.

It is not a de Polignac number, because 13738842001 - 21 = 13738841999 is a prime.

Together with 13738841999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13738842041) 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, 6869421000 + 6869421001.

It is an arithmetic number, because the mean of its divisors is an integer number (6869421001).

Almost surely, 213738842001 is an apocalyptic number.

It is an amenable number.

13738842001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13738842001 is an equidigital number, since it uses as much as digits as its factorization.

13738842001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 13738842001 in words is "thirteen billion, seven hundred thirty-eight million, eight hundred forty-two thousand, one".