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

bin | 111011100110101… |

… | …100101000000001 |

3 | 2120200200021010002 |

4 | 323212230220001 |

5 | 4022000000001 |

6 | 243121245345 |

7 | 33531600620 |

oct | 7346545001 |

9 | 2520607102 |

10 | 1000000001 |

11 | 473523890 |

12 | 23aa93855 |

13 | 12c23a1a0 |

14 | 96b4b6b7 |

15 | 5cbd146b |

hex | 3b9aca01 |

1000000001 has 32 divisors (see below), whose sum is σ = 1413350400. Its totient is φ = 681410880.

The previous prime is 999999937. The next prime is 1000000007.

It can be divided in two parts, 100000000 and 1, that added together give a palindrome (100000001).

1000000001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10^{9}+1.

It is a sliding number, since 1000000001 = 1 + 1000000000 and 1/1 + 1/1000000000 = 1.000000001.

It is a cyclic number.

It is not a de Polignac number, because 1000000001 - 2^{6} = 999999937 is a prime.

1000000001 is a strobogrammatic number because it is the same when read upside-down.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 999999928 and 1000000000.

It is not an unprimeable number, because it can be changed into a prime (1000000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7271 + ... + 45308.

It is an arithmetic number, because the mean of its divisors is an integer number (44167200).

Almost surely, 2^{1000000001} is an apocalyptic number.

1000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000000001 is a deficient number, since it is larger than the sum of its proper divisors (413350399).

1000000001 is a wasteful number, since it uses less digits than its factorization.

1000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52629.

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 1000000001 is about 31622.7766174952. The cubic root of 1000000001 is about 1000.0000003333. Note that the first 6 decimals are identical.

The spelling of 1000000001 in words is "one billion, one", and thus it is an aban number and an uban number.

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 52579 368053 578369 683527 999001 4048583 4784689 6993007 7518797 10989011 12987013 52631579 76923077 90909091 142857143 1000000001

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