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

bin | 1100010101110000110… |

… | …0001111011010000000 |

3 | 202021012122121110000122 |

4 | 3011130030033122000 |

5 | 11433134012011313 |

6 | 241220322035412 |

7 | 21213363130025 |

oct | 3053414173200 |

9 | 667178543018 |

10 | 212000110208 |

11 | 819aa598657 |

12 | 351064a8b68 |

13 | 16cb74c1bc3 |

14 | a391b2b54c |

15 | 57abc17708 |

hex | 315c30f680 |

212000110208 has 96 divisors (see below), whose sum is σ = 442268164800. Its totient is φ = 101216192000.

The previous prime is 212000110207. The next prime is 212000110237. The reversal of 212000110208 is 802011000212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212000110207) 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, 44619833 + ... + 44624583.

It is an arithmetic number, because the mean of its divisors is an integer number (4606960050).

Almost surely, 2^{212000110208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221134082400).

212000110208 is an abundant number, since it is smaller than the sum of its proper divisors (230268054592).

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

212000110208 is an equidigital number, since it uses as much as digits as its factorization.

212000110208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 212000110208 in words is "two hundred twelve billion, one hundred ten thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 529 659 736 1058 1318 1472 2116 2636 2944 4232 4751 5272 8464 9502 10544 15157 16928 19004 21088 30314 33856 38008 42176 60628 67712 76016 84352 109273 121256 152032 218546 242512 304064 348611 437092 485024 608128 697222 874184 970048 1394444 1748368 1940096 2513279 2788888 3130909 3496736 5026558 5577776 6261818 6993472 10053116 11155552 12523636 13986944 20106232 22311104 25047272 40212464 44622208 50094544 72010907 80424928 100189088 144021814 160849856 200378176 288043628 321699712 400756352 576087256 1152174512 1656250861 2304349024 3312501722 4608698048 6625003444 9217396096 13250006888 26500013776 53000027552 106000055104 212000110208

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