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

bin | 10100011111010011… |

… | …01011001001001100 |

3 | 1001101121102221202011 |

4 | 22033221223021030 |

5 | 140012000013400 |

6 | 5015304111004 |

7 | 536406316024 |

oct | 121751531114 |

9 | 31347387664 |

10 | 11000001100 |

11 | 4735239700 |

12 | 216ba65464 |

13 | 1063c27cba |

14 | 764cb0a84 |

15 | 445a8e8ba |

hex | 28fa6b24c |

11000001100 has 54 divisors (see below), whose sum is σ = 26237304212. Its totient is φ = 3999996000.

The previous prime is 11000001071. The next prime is 11000001109. The reversal of 11000001100 is 110000011.

Adding to 11000001100 its reverse (110000011), we get a palindrome (11110001111).

11000001100 divided by its reverse (110000011) gives a square (100 = 10^{2}).

11000001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a zygodrome in base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 11000001100.

It is not an unprimeable number, because it can be changed into a prime (11000001109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 442446 + ... + 466645.

Almost surely, 2^{11000001100} is an apocalyptic number.

11000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000001100 is an abundant number, since it is smaller than the sum of its proper divisors (15237303112).

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

11000001100 is a wasteful number, since it uses less digits than its factorization.

11000001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909127 (or 909109 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The spelling of 11000001100 in words is "eleven billion, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 909091 1818182 3636364 4545455 9090910 10000001 18181820 20000002 22727275 40000004 45454550 50000005 90909100 100000010 110000011 200000020 220000022 250000025 440000044 500000050 550000055 1000000100 1100000110 2200000220 2750000275 5500000550 11000001100

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