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13755735101 is a prime number
BaseRepresentation
bin11001100111110011…
…11101110000111101
31022111122211202010102
430303321331300331
5211132432010401
610152545050445
7664610550653
oct146371756075
938448752112
1013755735101
115919832419
1227ba926a25
1313b2b26a34
14946c90dd3
1555798356b
hex333e7dc3d

13755735101 has 2 divisors, whose sum is σ = 13755735102. Its totient is φ = 13755735100.

The previous prime is 13755735061. The next prime is 13755735173. The reversal of 13755735101 is 10153755731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13753191076 + 2544025 = 117274^2 + 1595^2 .

It is a cyclic number.

It is not a de Polignac number, because 13755735101 - 210 = 13755734077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13755735401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6877867550 + 6877867551.

It is an arithmetic number, because the mean of its divisors is an integer number (6877867551).

Almost surely, 213755735101 is an apocalyptic number.

It is an amenable number.

13755735101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13755735101 is an equidigital number, since it uses as much as digits as its factorization.

13755735101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55125, while the sum is 38.

The spelling of 13755735101 in words is "thirteen billion, seven hundred fifty-five million, seven hundred thirty-five thousand, one hundred one".