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

bin | 111111111111111111111 |

3 | 10221112202021 |

4 | 13333333333 |

5 | 1014102101 |

6 | 112541011 |

7 | 23553100 |

oct | 7777777 |

9 | 3845667 |

10 | 2097151 |

11 | 1202691 |

12 | 851767 |

13 | 585724 |

14 | 3c83a7 |

15 | 2b65a1 |

hex | 1fffff |

2097151 has 12 divisors (see below), whose sum is σ = 2466048. Its totient is φ = 1778112.

The previous prime is 2097143. The next prime is 2097169. The reversal of 2097151 is 1517902.

2097151 = T_{90} + T_{91} + ... +
T_{236}.

2097151 is nontrivially palindromic in base 2 and base 8.

It is a Cunningham number, because it is equal to 2^{21}-1.

It is not a de Polignac number, because 2097151 - 2^{3} = 2097143 is a prime.

It is a Duffinian number.

2097151 is a lucky number.

2097151 is a nontrivial repdigit in base 2 and base 8.

It is a plaindrome in base 2, base 4, base 8 and base 16.

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097131) by changing a digit.

It is a nontrivial repunit in base 2.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6055 + ... + 6391.

It is an arithmetic number, because the mean of its divisors is an integer number (205504).

2^{2097151} is an apocalyptic number.

2097151 is a deficient number, since it is larger than the sum of its proper divisors (368897).

2097151 is a wasteful number, since it uses less digits than its factorization.

2097151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 2097151 is about 1448.1543426030. The cubic root of 2097151 is about 127.9999796549. Note that the first 4 decimals are identical.

The spelling of 2097151 in words is "two million, ninety-seven thousand, one hundred fifty-one".

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