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

bin | 1010000110110000000111… |

… | …00110000110111101000111 |

3 | 2220200102102210112110000110 |

4 | 11003120003212012331013 |

5 | 10403042102101023421 |

6 | 115132425240444103 |

7 | 4452334232554320 |

oct | 503300346067507 |

9 | 86612383473013 |

10 | 22222221111111 |

11 | 709843353775a |

12 | 25aa994a79633 |

13 | c52714755618 |

14 | 56b7c0089447 |

15 | 2880b7040a76 |

hex | 143603986f47 |

22222221111111 has 32 divisors (see below), whose sum is σ = 34011465984000. Its totient is φ = 12642547357440.

The previous prime is 22222221111049. The next prime is 22222221111121. The reversal of 22222221111111 is 11111112222222.

Adding to 22222221111111 its reverse (11111112222222), we get a palindrome (33333333333333).

Subtracting from 22222221111111 its reverse (11111112222222), we obtain a square (11111108888889 = 3333333^{2}).

It can be divided in two parts, 2222222 and 1111111, that added together give a palindrome (3333333).

22222221111111 is a nontrivial binomial coefficient, being equal to C(6666667, 2).

It is not a de Polignac number, because 22222221111111 - 2^{21} = 22222219013959 is a prime.

It is a super-2 number, since 2×22222221111111^{2} (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222221111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22857141 + ... + 23809521.

It is an arithmetic number, because the mean of its divisors is an integer number (1062858312000).

Almost surely, 2^{22222221111111} is an apocalyptic number.

22222221111111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22222221111111 is the 6666666-th triangular number.

22222221111111 is a deficient number, since it is larger than the sum of its proper divisors (11789244872889).

22222221111111 is a wasteful number, since it uses less digits than its factorization.

22222221111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957279.

The product of its digits is 128, while the sum is 21.

The spelling of 22222221111111 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 7 21 239 717 1673 4649 5019 13947 32543 97629 952381 1111111 2857143 3333333 6666667 7777777 20000001 23333331 227619059 682857177 1593333413 4427619269 4780000239 13282857807 30993334883 92980004649 1058201005291 3174603015873 7407407037037 22222221111111

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