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13834230301 = 172117140879
BaseRepresentation
bin11001110001001010…
…11001101000011101
31022201010112201022001
430320211121220131
5211313030332201
610204431322301
7666553005643
oct147045315035
938633481261
1013834230301
11595a075a91
122821080391
1313c617b1b8
14953485193
1555e7db301
hex338959a1d

13834230301 has 12 divisors (see below), whose sum is σ = 14708787520. Its totient is φ = 13009014720.

The previous prime is 13834230299. The next prime is 13834230313. The reversal of 13834230301 is 10303243831.

13834230301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13834230301 - 21 = 13834230299 is a prime.

It is a super-2 number, since 2×138342303012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13834230301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13834230101) 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 in 11 ways as a sum of consecutive naturals, for example, 317980 + ... + 358858.

Almost surely, 213834230301 is an apocalyptic number.

It is an amenable number.

13834230301 is a deficient number, since it is larger than the sum of its proper divisors (874557219).

13834230301 is a wasteful number, since it uses less digits than its factorization.

13834230301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42084 (or 42067 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 13834230301 in words is "thirteen billion, eight hundred thirty-four million, two hundred thirty thousand, three hundred one".

Divisors: 1 17 289 1171 19907 40879 338419 694943 11814031 47869309 813778253 13834230301