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

bin | 1010000011100000111100… |

… | …10011010010000101110010 |

3 | 2220021210100121102011100212 |

4 | 11001300132103102011302 |

5 | 10344231312000323442 |

6 | 115005353030344122 |

7 | 4441316123035511 |

oct | 501603623220562 |

9 | 86253317364325 |

10 | 22111000011122 |

11 | 705524a08a100 |

12 | 25913151bb042 |

13 | c4509b287259 |

14 | 56626ca42678 |

15 | 285257b40a82 |

hex | 141c1e4d2172 |

22111000011122 has 48 divisors (see below), whose sum is σ = 36616593888000. Its totient is φ = 10006127947200.

The previous prime is 22111000011101. The next prime is 22111000011151.

It can be divided in two parts, 221110000 and 11122, that added together give a palindrome (221121122).

22111000011122 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22111000011122^{3} (a number of 41 digits) contains 333 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 22111000011097 and 22111000011106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268847747 + ... + 268929977.

It is an arithmetic number, because the mean of its divisors is an integer number (762845706000).

Almost surely, 2^{22111000011122} is an apocalyptic number.

22111000011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22111000011122 is a deficient number, since it is larger than the sum of its proper divisors (14505593876878).

22111000011122 is a wasteful number, since it uses less digits than its factorization.

22111000011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87143 (or 87132 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The spelling of 22111000011122 in words is "twenty-two trillion, one hundred eleven billion, eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 22 121 239 242 478 2629 4649 5258 9298 28919 51139 57838 82231 102278 164462 562529 904541 1111111 1125058 1809082 2222222 9949951 12222221 19653209 19899902 24444442 39306418 134444431 216185299 268888862 382291919 432370598 764583838 2378038289 4205211109 4756076578 8410422218 46257322199 91367768641 92514644398 182735537282 1005045455051 2010090910102 11055500005561 22111000011122

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