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13749133 is a prime number
BaseRepresentation
bin110100011100…
…101110001101
3221212112021011
4310130232031
512004433013
61210405221
7224602636
oct64345615
927775234
1013749133
117840a22
124730811
132b051a8
141b7c88d
151318c3d
hexd1cb8d

13749133 has 2 divisors, whose sum is σ = 13749134. Its totient is φ = 13749132.

The previous prime is 13749119. The next prime is 13749149. The reversal of 13749133 is 33194731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13235044 + 514089 = 3638^2 + 717^2 .

It is a cyclic number.

It is not a de Polignac number, because 13749133 - 29 = 13748621 is a prime.

It is a super-3 number, since 3×137491333 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13749095 and 13749104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13749233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6874566 + 6874567.

It is an arithmetic number, because the mean of its divisors is an integer number (6874567).

Almost surely, 213749133 is an apocalyptic number.

It is an amenable number.

13749133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13749133 is an equidigital number, since it uses as much as digits as its factorization.

13749133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 31.

The square root of 13749133 is about 3707.9823354488. The cubic root of 13749133 is about 239.5659574006.

The spelling of 13749133 in words is "thirteen million, seven hundred forty-nine thousand, one hundred thirty-three".