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

bin | 110001100110… |

… | …100111001101 |

3 | 220110122001111 |

4 | 301212213031 |

5 | 11312100323 |

6 | 1142412021 |

7 | 215345146 |

oct | 61464715 |

9 | 26418044 |

10 | 13003213 |

11 | 7381563 |

12 | 4431011 |

13 | 2903812 |

14 | 1a26acd |

15 | 121cc0d |

hex | c669cd |

13003213 has 4 divisors (see below), whose sum is σ = 13018140. Its totient is φ = 12988288.

The previous prime is 13003171. The next prime is 13003219. The reversal of 13003213 is 31230031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31230031 = 7 ⋅4461433.

It can be written as a sum of positive squares in 2 ways, for example, as 2518569 + 10484644 = 1587^2 + 3238^2 .

It is a cyclic number.

It is not a de Polignac number, because 13003213 - 2^{17} = 12872141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 13003193 and 13003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003219) 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 in 3 ways as a sum of consecutive naturals, for example, 6070 + ... + 7927.

It is an arithmetic number, because the mean of its divisors is an integer number (3254535).

Almost surely, 2^{13003213} is an apocalyptic number.

It is an amenable number.

13003213 is a deficient number, since it is larger than the sum of its proper divisors (14927).

13003213 is an equidigital number, since it uses as much as digits as its factorization.

13003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14926.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13003213 is about 3605.9968108694. The cubic root of 13003213 is about 235.1528385568.

Adding to 13003213 its reverse (31230031), we get a palindrome (44233244).

The spelling of 13003213 in words is "thirteen million, three thousand, two hundred thirteen".

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