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

bin | 100001000111010… |

… | …0011100110110000 |

3 | 2212102202100021110 |

4 | 1002032203212300 |

5 | 4233421041422 |

6 | 302130553320 |

7 | 36351203625 |

oct | 10216434660 |

9 | 2772670243 |

10 | 1111112112 |

11 | 520214a80 |

12 | 270138840 |

13 | 1492717b6 |

14 | a77d234c |

15 | 6782d60c |

hex | 423a39b0 |

1111112112 has 80 divisors (see below), whose sum is σ = 3315537792. Its totient is φ = 316892160.

The previous prime is 1111112099. The next prime is 1111112117. The reversal of 1111112112 is 2112111111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 an insolite number, because it is divisible by the sum (16) and by the product (16) of the squares of its digits.

It is not an unprimeable number, because it can be changed into a prime (1111112117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52918 + ... + 70869.

Almost surely, 2^{1111112112} is an apocalyptic number.

1111112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111112112 is an abundant number, since it is smaller than the sum of its proper divisors (2204425680).

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

1111112112 is a wasteful number, since it uses less digits than its factorization.

1111112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123826 (or 123820 counting only the distinct ones).

The product of its digits is 4, while the sum is 12.

The square root of 1111112112 is about 33333.3483466633. The cubic root of 1111112112 is about 1035.7444796506.

Adding to 1111112112 its reverse (2112111111), we get a palindrome (3223223223).

It can be divided in two parts, 111111 and 2112, that multiplied together give a palindrome (234666432).

The spelling of 1111112112 in words is "one billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 123787 247574 371361 495148 742722 990296 1361657 1485444 1980592 2104379 2723314 2970888 4084971 4208758 5446628 5941776 6313137 8169942 8417516 10893256 12626274 16339884 16835032 21786512 23148169 25252548 32679768 33670064 46296338 50505096 65359536 69444507 92592676 101010192 138889014 185185352 277778028 370370704 555556056 1111112112

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