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13100332229 is a prime number
BaseRepresentation
bin11000011001101011…
…10011010011000101
31020210222120211101222
430030311303103011
5203312141112404
610003533330125
7642431662265
oct141465632305
936728524358
1013100332229
115612883556
122657336945
13130a10079a
148c3c057a5
1551a16edbe
hex30cd734c5

13100332229 has 2 divisors, whose sum is σ = 13100332230. Its totient is φ = 13100332228.

The previous prime is 13100332207. The next prime is 13100332241. The reversal of 13100332229 is 92223300131.

13100332229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12583679329 + 516652900 = 112177^2 + 22730^2 .

It is a cyclic number.

It is not a de Polignac number, because 13100332229 - 212 = 13100328133 is a prime.

It is a super-2 number, since 2×131003322292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100332198 and 13100332207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13100332279) 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, 6550166114 + 6550166115.

It is an arithmetic number, because the mean of its divisors is an integer number (6550166115).

Almost surely, 213100332229 is an apocalyptic number.

It is an amenable number.

13100332229 is a deficient number, since it is larger than the sum of its proper divisors (1).

13100332229 is an equidigital number, since it uses as much as digits as its factorization.

13100332229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 13100332229 in words is "thirteen billion, one hundred million, three hundred thirty-two thousand, two hundred twenty-nine".