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

bin | 1010000000010010001110… |

… | …1111111011010000100111 |

3 | 1102221120221200101002201100 |

4 | 2200010203233323100213 |

5 | 2420211010304323421 |

6 | 35221200231331143 |

7 | 2213503345603563 |

oct | 240044357732047 |

9 | 42846850332640 |

10 | 11000011011111 |

11 | 356109549a801 |

12 | 1297a61520ab3 |

13 | 61a3b17aabc5 |

14 | 2a0590c006a3 |

15 | 141207631c26 |

hex | a0123bfb427 |

11000011011111 has 6 divisors (see below), whose sum is σ = 15888904793840. Its totient is φ = 7333340674068.

The previous prime is 11000011011083. The next prime is 11000011011113. The reversal of 11000011011111 is 11111011000011.

It is not a de Polignac number, because 11000011011111 - 2^{5} = 11000011011079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1222223445679 = 11000011011111 / (1 + 1 + 0 + 0 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 1 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 11000011011093 and 11000011011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000011011113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611111722831 + ... + 611111722848.

Almost surely, 2^{11000011011111} is an apocalyptic number.

11000011011111 is a deficient number, since it is larger than the sum of its proper divisors (4888893782729).

11000011011111 is a wasteful number, since it uses less digits than its factorization.

11000011011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222223445685 (or 1222223445682 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11000011011111 its reverse (11111011000011), we get a palindrome (22111022011122).

It can be divided in two parts, 1100001 and 1011111, that added together give a palindrome (2111112).

The spelling of 11000011011111 in words is "eleven trillion, eleven million, eleven thousand, one hundred eleven".

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