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

bin | 1000000011011010001000 |

3 | 10222020220100 |

4 | 20003122020 |

5 | 1020023422 |

6 | 113125400 |

7 | 23641563 |

oct | 10033210 |

9 | 3866810 |

10 | 2111112 |

11 | 1212123 |

12 | 859860 |

13 | 58bba3 |

14 | 3cd4da |

15 | 2ba7ac |

hex | 203688 |

2111112 has 48 divisors (see below), whose sum is σ = 5791500. Its totient is φ = 694656.

The previous prime is 2111107. The next prime is 2111129.

It is a happy number.

2111112 is nontrivially palindromic in base 10.

2111112 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 2056356 + 54756 = 1434^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2111094 and 2111103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7714 + ... + 7982.

2^{2111112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895750).

2111112 is an abundant number, since it is smaller than the sum of its proper divisors (3680388).

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

2111112 is a wasteful number, since it uses less digits than its factorization.

2111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its digits is 4, while the sum is 9.

The square root of 2111112 is about 1452.9666204012. The cubic root of 2111112 is about 128.2833890472.

The spelling of 2111112 in words is "two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 269 327 436 538 654 807 872 981 1076 1308 1614 1962 2152 2421 2616 3228 3924 4842 6456 7848 9684 19368 29321 58642 87963 117284 175926 234568 263889 351852 527778 703704 1055556 2111112

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