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

bin | 100111011000001… |

… | …1100100000000100 |

3 | 10102002022010201101 |

4 | 1032300130200010 |

5 | 10201224310000 |

6 | 335040305444 |

7 | 44513025121 |

oct | 11660344004 |

9 | 3362263641 |

10 | 1321322500 |

11 | 618941173 |

12 | 30a612284 |

13 | 180992344 |

14 | c76b1748 |

15 | 7b002e6a |

hex | 4ec1c804 |

1321322500 has 45 divisors (see below), whose sum is σ = 2893448019. Its totient is φ = 527802000.

The previous prime is 1321322473. The next prime is 1321322531. The reversal of 1321322500 is 52231231.

The square root of 1321322500 is 36350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 103591684 + 1217730816 = 10178^2 + 34896^2 .

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 1817137 + ... + 1817863.

Almost surely, 2^{1321322500} is an apocalyptic number.

1321322500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1321322500 is the 36350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321322500

1321322500 is an abundant number, since it is smaller than the sum of its proper divisors (1572125519).

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

1321322500 is an frugal number, since it uses more digits than its factorization.

1321322500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 1321322500 is about 1097.3275345041.

Adding to 1321322500 its reverse (52231231), we get a palindrome (1373553731).

The spelling of 1321322500 in words is "one billion, three hundred twenty-one million, three hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 727 1250 1454 2500 2908 3635 7270 14540 18175 36350 72700 90875 181750 363500 454375 528529 908750 1057058 1817500 2114116 2642645 5285290 10570580 13213225 26426450 52852900 66066125 132132250 264264500 330330625 660661250 1321322500

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