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

bin | 11000011010000001010001… |

… | …000100011111001100100001 |

3 | 112002001201100120220011011111 |

4 | 120122001101010133030201 |

5 | 103032134220243324411 |

6 | 1020143505243343321 |

7 | 31416100401245401 |

oct | 3032012104371441 |

9 | 462051316804144 |

10 | 107341182792481 |

11 | 3122515a342300 |

12 | 10057534b21b41 |

13 | 47b82cb700821 |

14 | 1c714ab888801 |

15 | c622cce01721 |

hex | 61a05111f321 |

107341182792481 has 27 divisors (see below), whose sum is σ = 119092748106969. Its totient is φ = 96676448140800.

The previous prime is 107341182792433. The next prime is 107341182792517. The reversal of 107341182792481 is 184297281143701.

The square root of 107341182792481 is 10360559.

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

It is the 4229681-st star number.

It can be written as a sum of positive squares in 4 ways, for example, as 17478745816081 + 89862436976400 = 4180759^2 + 9479580^2 .

It is not a de Polignac number, because 107341182792481 - 2^{37} = 107203743839009 is a prime.

It is a super-2 number, since 2×107341182792481^{2} (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107341182792401) 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, 12422305921 + ... + 12422314561.

Almost surely, 2^{107341182792481} is an apocalyptic number.

107341182792481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107341182792481 is the 10360559-th square number.

107341182792481 is the 5180280-th centered octagonal number.

It is an amenable number.

107341182792481 is a deficient number, since it is larger than the sum of its proper divisors (11751565314488).

107341182792481 is an frugal number, since it uses more digits than its factorization.

107341182792481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17522 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The spelling of 107341182792481 in words is "one hundred seven trillion, three hundred forty-one billion, one hundred eighty-two million, seven hundred ninety-two thousand, four hundred eighty-one".

Divisors: 1 11 109 121 1199 8641 11881 13189 95051 130691 941869 1045561 1437601 10360559 74666881 102663721 113966149 821335691 1129300931 8138690029 9034692601 12422310241 89525590319 887117213161 984781493509 9758289344771 107341182792481

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