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

bin | 110010010001011010001111… |

… | …001101110101101110101001 |

3 | 1001222211211110120222200210100 |

4 | 302101122033031311232221 |

5 | 212434440144140431241 |

6 | 2102123204244140013 |

7 | 64366566423620022 |

oct | 6221321715655651 |

9 | 1058754416880710 |

10 | 221098729233321 |

11 | 644a3498690585 |

12 | 2096a4b9097609 |

13 | 964a69cca9c24 |

14 | 3c85342677c49 |

15 | 1a8644305c9b6 |

hex | c9168f375ba9 |

221098729233321 has 27 divisors (see below), whose sum is σ = 322502265644247. Its totient is φ = 145965059730720.

The previous prime is 221098729233301. The next prime is 221098729233383. The reversal of 221098729233321 is 123332927890122.

The square root of 221098729233321 is 14869389.

It is a perfect power (a square), and thus also a powerful number.

221098729233321 is a *`hidden beast`* number, since 2 + 2 + 1 + 0 + 9 + 87 + 2 + 9 + 233 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159885630978921 + 61213098254400 = 12644589^2 + 7823880^2 .

It is not a de Polignac number, because 221098729233321 - 2^{5} = 221098729233289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221098729233301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4594617141 + ... + 4594665261.

Almost surely, 2^{221098729233321} is an apocalyptic number.

221098729233321 is the 14869389-th square number.

221098729233321 is the 7434695-th centered octagonal number.

It is an amenable number.

221098729233321 is a deficient number, since it is larger than the sum of its proper divisors (101403536410926).

221098729233321 is an frugal number, since it uses more digits than its factorization.

221098729233321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96454 (or 48227 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 221098729233321 in words is "two hundred twenty-one trillion, ninety-eight billion, seven hundred twenty-nine million, two hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 103 309 927 10609 31827 48121 95481 144363 433089 4956463 14869389 44608167 510515689 1531547067 2315630641 4594641201 6946891923 20840675769 238509956023 715529868069 2146589604207 24566525470369 73699576411107 221098729233321

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