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

bin | 100000001100001100110… |

… | …000100011011100011010 |

3 | 21211110212121012201022211 |

4 | 200030030300203130122 |

5 | 242220411241241442 |

6 | 4412122424105334 |

7 | 315551310362254 |

oct | 40141460433432 |

9 | 7743777181284 |

10 | 2212122212122 |

11 | 783179356409 |

12 | 2b888330524a |

13 | 1307aa137b14 |

14 | 790d28c2cd4 |

15 | 3c8207b3617 |

hex | 2030cc2371a |

2212122212122 has 16 divisors (see below), whose sum is σ = 3462516195840. Its totient is φ = 1057951925712.

The previous prime is 2212122212117. The next prime is 2212122212123.

2212122212122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2212122212093 and 2212122212102.

It is not an unprimeable number, because it can be changed into a prime (2212122212123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2244343 + ... + 3075925.

It is an arithmetic number, because the mean of its divisors is an integer number (216407262240).

Almost surely, 2^{2212122212122} is an apocalyptic number.

2212122212122 is a deficient number, since it is larger than the sum of its proper divisors (1250393983718).

2212122212122 is a wasteful number, since it uses less digits than its factorization.

2212122212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889437.

The product of its digits is 512, while the sum is 22.

Multiplying 2212122212122 by its sum of digits (22), we get a palindrome (48666688666684).

The spelling of 2212122212122 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 23 46 57829 115658 831583 1330067 1663166 2660134 19126409 38252818 48089613307 96179226614 1106061106061 2212122212122

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