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13820415601 is a prime number
BaseRepresentation
bin11001101111100001…
…01100111001110001
31022200011112212002111
430313300230321301
5211301011244401
610203215245321
7666324410566
oct146760547161
938604485074
1013820415601
11595229a883
122818519841
1313c3352215
149516ca86d
1555d4ace51
hex337c2ce71

13820415601 has 2 divisors, whose sum is σ = 13820415602. Its totient is φ = 13820415600.

The previous prime is 13820415593. The next prime is 13820415613. The reversal of 13820415601 is 10651402831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13820353600 + 62001 = 117560^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 13820415601 - 23 = 13820415593 is a prime.

It is not a weakly prime, because it can be changed into another prime (13820415671) 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, 6910207800 + 6910207801.

It is an arithmetic number, because the mean of its divisors is an integer number (6910207801).

Almost surely, 213820415601 is an apocalyptic number.

It is an amenable number.

13820415601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13820415601 is an equidigital number, since it uses as much as digits as its factorization.

13820415601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 13820415601 in words is "thirteen billion, eight hundred twenty million, four hundred fifteen thousand, six hundred one".