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

bin | 1001100110000110001110… |

… | …10011110010001101000110 |

3 | 2202201011100211112112101000 |

4 | 10303003013103302031012 |

5 | 10231201224120212220 |

6 | 112513150403514130 |

7 | 4305304126013226 |

oct | 463030723621506 |

9 | 82634324475330 |

10 | 21100223210310 |

11 | 67a5610a14262 |

12 | 2449446088946 |

13 | ba09863b19ca |

14 | 52d38322a086 |

15 | 268cea228390 |

hex | 1330c74f2346 |

21100223210310 has 64 divisors (see below), whose sum is σ = 56290895386560. Its totient is φ = 5624362840320.

The previous prime is 21100223210267. The next prime is 21100223210323. The reversal of 21100223210310 is 1301232200112.

Adding to 21100223210310 its reverse (1301232200112), we get a palindrome (22401455410422).

21100223210310 is a *`hidden beast`* number, since 2 + 1 + 10 + 0 + 22 + 321 + 0 + 310 = 666.

It is a super-2 number, since 2×21100223210310^{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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15768087 + ... + 17053826.

It is an arithmetic number, because the mean of its divisors is an integer number (879545240415).

Almost surely, 2^{21100223210310} is an apocalyptic number.

21100223210310 is an abundant number, since it is smaller than the sum of its proper divisors (35190672176250).

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

21100223210310 is a wasteful number, since it uses less digits than its factorization.

21100223210310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32824310 (or 32824304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 21100223210310 in words is "twenty-one trillion, one hundred billion, two hundred twenty-three million, two hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2381 4762 7143 11905 14286 21429 23810 35715 42858 64287 71430 107145 128574 214290 321435 642870 32821913 65643826 98465739 164109565 196931478 295397217 328219130 492328695 590794434 886191651 984657390 1476986085 1772383302 2953972170 4430958255 8861916510 78148974853 156297949706 234446924559 390744874265 468893849118 703340773677 781489748530 1172234622795 1406681547354 2110022321031 2344469245590 3516703868385 4220044642062 7033407736770 10550111605155 21100223210310

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