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

bin | 11110000000000000… |

… | …000000000000000001 |

3 | 10002010221001002100011 |

4 | 132000000000000001 |

5 | 1011432314122341 |

6 | 22444220224521 |

7 | 2220151435033 |

oct | 360000000001 |

9 | 102127032304 |

10 | 32212254721 |

11 | 1272aa83819 |

12 | 62ab99b141 |

13 | 30647c766a |

14 | 17b8195c53 |

15 | c87e66b81 |

hex | 780000001 |

32212254721 has 48 divisors (see below), whose sum is σ = 36250560000. Its totient is φ = 28578539520.

The previous prime is 32212254719. The next prime is 32212254749. The reversal of 32212254721 is 12745221223.

Adding to 32212254721 its reverse (12745221223), we get a palindrome (44957475944).

It is a Cullen number, since it is equal to 30×2^{30}+1.

It is not a de Polignac number, because 32212254721 - 2^{1} = 32212254719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32212204721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78758365 + ... + 78758773.

It is an arithmetic number, because the mean of its divisors is an integer number (755220000).

It is a Proth number, since it is equal to 15 ⋅ 2^{31} + 1 and 15 < 2^{31}.

Almost surely, 2^{32212254721} is an apocalyptic number.

32212254721 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

32212254721 is a deficient number, since it is larger than the sum of its proper divisors (4038305279).

32212254721 is a wasteful number, since it uses less digits than its factorization.

32212254721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The spelling of 32212254721 in words is "thirty-two billion, two hundred twelve million, two hundred fifty-four thousand, seven hundred twenty-one".

Divisors: 1 17 31 59 149 289 409 527 1003 1829 2533 4619 6953 8791 8959 12679 17051 24131 31093 43061 60941 78523 118201 149447 215543 272521 410227 528581 748061 1035997 1334891 1889171 2540599 3595519 3664231 4632857 6973859 12717037 17611949 32115907 61123823 78758569 111461089 216189629 545970419 1039104991 1894838513 32212254721

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