Base | Representation |
---|---|

bin | 110010000110… |

… | …010101001101 |

3 | 220201020021100 |

4 | 302012111031 |

5 | 11330230013 |

6 | 1145253313 |

7 | 216426006 |

oct | 62062515 |

9 | 26636240 |

10 | 13133133 |

11 | 7460132 |

12 | 4494239 |

13 | 294a9b0 |

14 | 1a5c1ad |

15 | 1246473 |

hex | c8654d |

13133133 has 12 divisors (see below), whose sum is σ = 20429500. Its totient is φ = 8081856.

The previous prime is 13133111. The next prime is 13133147. The reversal of 13133133 is 33133131.

It can be written as a sum of positive squares in 2 ways, for example, as 7387524 + 5745609 = 2718^2 + 2397^2 .

It is not a de Polignac number, because 13133133 - 2^{8} = 13132877 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56008 + ... + 56241.

Almost surely, 2^{13133133} is an apocalyptic number.

13133133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13133133 is a deficient number, since it is larger than the sum of its proper divisors (7296367).

13133133 is a wasteful number, since it uses less digits than its factorization.

13133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112268 (or 112265 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 13133133 is about 3623.9664733549. The cubic root of 13133133 is about 235.9334115017.

Adding to 13133133 its product of digits (243), we get a square (13133376 = 3624^{2}).

Adding to 13133133 its reverse (33133131), we get a palindrome (46266264).

It can be divided in two parts, 1313313 and 3, that added together give a square (1313316 = 1146^{2}).

The spelling of 13133133 in words is "thirteen million, one hundred thirty-three thousand, one hundred thirty-three".

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