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

bin | 1000100100011011… |

… | …1111101000110000 |

3 | 12221022102221222220 |

4 | 2021012333220300 |

5 | 14202334441422 |

6 | 1020131401040 |

7 | 111001221210 |

oct | 21106775060 |

9 | 5838387886 |

10 | 2300312112 |

11 | a8051459a |

12 | 542453180 |

13 | 2a8754237 |

14 | 17b710240 |

15 | d6e33e5c |

hex | 891bfa30 |

2300312112 has 80 divisors (see below), whose sum is σ = 6840395520. Its totient is φ = 652490496.

The previous prime is 2300312111. The next prime is 2300312137. The reversal of 2300312112 is 2112130032.

It is a super-2 number, since 2×2300312112^{2} = 10582871625227801088, which contains 22 as substring.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2300312091 and 2300312100.

It is not an unprimeable number, because it can be changed into a prime (2300312111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22078 + ... + 71330.

It is an arithmetic number, because the mean of its divisors is an integer number (85504944).

Almost surely, 2^{2300312112} 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 2300312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420197760).

2300312112 is an abundant number, since it is smaller than the sum of its proper divisors (4540083408).

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

2300312112 is a wasteful number, since it uses less digits than its factorization.

2300312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49410 (or 49404 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2300312112 is about 47961.5691152823. The cubic root of 2300312112 is about 1320.0658277548.

Adding to 2300312112 its reverse (2112130032), we get a palindrome (4412442144).

The spelling of 2300312112 in words is "two billion, three hundred million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 417 556 834 973 1112 1668 1946 2224 2919 3336 3892 5838 6672 7784 11676 15568 23352 46704 49253 98506 147759 197012 295518 344771 394024 591036 689542 788048 1034313 1182072 1379084 2068626 2364144 2758168 4137252 5516336 6846167 8274504 13692334 16549008 20538501 27384668 41077002 47923169 54769336 82154004 95846338 109538672 143769507 164308008 191692676 287539014 328616016 383385352 575078028 766770704 1150156056 2300312112

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