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

bin | 110010010110… |

… | …101101010010 |

3 | 220211122021200 |

4 | 302112231102 |

5 | 11334401320 |

6 | 1150532030 |

7 | 220125402 |

oct | 62265522 |

9 | 26748250 |

10 | 13200210 |

11 | 74a6571 |

12 | 4507016 |

13 | 297239a |

14 | 1a78802 |

15 | 125b290 |

hex | c96b52 |

13200210 has 24 divisors (see below), whose sum is σ = 34320780. Its totient is φ = 3520032.

The previous prime is 13200199. The next prime is 13200221. The reversal of 13200210 is 1200231.

Adding to 13200210 its reverse (1200231), we get a palindrome (14400441).

13200210 = T_{373} + T_{374} + ... +
T_{507}.

It is a happy number.

13200210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13200199) and next prime (13200221).

It can be written as a sum of positive squares in 2 ways, for example, as 13198689 + 1521 = 3633^2 + 39^2 .

It is a super-3 number, since 3×13200210^{3} (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 13200192 and 13200201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73245 + ... + 73424.

Almost surely, 2^{13200210} is an apocalyptic number.

13200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13200210 is an abundant number, since it is smaller than the sum of its proper divisors (21120570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13200210 is a wasteful number, since it uses less digits than its factorization.

13200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146682 (or 146679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13200210 is about 3633.2093251009. The cubic root of 13200210 is about 236.3344033687.

The spelling of 13200210 in words is "thirteen million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 146669 293338 440007 733345 880014 1320021 1466690 2200035 2640042 4400070 6600105 13200210

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