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

bin | 1110100100011… |

… | …1101101001100 |

3 | 11020222202200200 |

4 | 3221013231030 |

5 | 111121023431 |

6 | 10021453500 |

7 | 1341302343 |

oct | 351075514 |

9 | 136882620 |

10 | 61111116 |

11 | 3154a760 |

12 | 18571290 |

13 | c878931 |

14 | 818ab5a |

15 | 5571ee6 |

hex | 3a47b4c |

61111116 has 36 divisors (see below), whose sum is σ = 168519624. Its totient is φ = 18518400.

The previous prime is 61111111. The next prime is 61111121.

61111116 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (61111111) and next prime (61111121).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 not an unprimeable number, because it can be changed into a prime (61111111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76765 + ... + 77556.

Almost surely, 2^{61111116} is an apocalyptic number.

61111116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61111116 is an abundant number, since it is smaller than the sum of its proper divisors (107408508).

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

61111116 is a wasteful number, since it uses less digits than its factorization.

61111116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154342 (or 154337 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

The square root of 61111116 is about 7817.3599124001. The cubic root of 61111116 is about 393.8885939929. Note that the first 3 decimals are identical.

It can be divided in two parts, 6111 and 1116, that added together give a palindrome (7227).

The spelling of 61111116 in words is "sixty-one million, one hundred eleven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 154321 308642 462963 617284 925926 1388889 1697531 1851852 2777778 3395062 5092593 5555556 6790124 10185186 15277779 20370372 30555558 61111116

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