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

bin | 11101001000100001110… |

… | …10010011100111001110 |

3 | 10112200210011222122002021 |

4 | 32210100322103213032 |

5 | 112400032320200420 |

6 | 2043505205520354 |

7 | 132214662650530 |

oct | 16442072234716 |

9 | 3480704878067 |

10 | 1001011100110 |

11 | 35658774041a |

12 | 1420047130ba |

13 | 735198c1228 |

14 | 36640843850 |

15 | 1b08a3db7aa |

hex | e910e939ce |

1001011100110 has 32 divisors (see below), whose sum is σ = 2079215304192. Its totient is φ = 339871727520.

The previous prime is 1001011100081. The next prime is 1001011100267. The reversal of 1001011100110 is 110011101001.

It is a happy number.

1001011100110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 1001011100093 and 1001011100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69411036 + ... + 69425455.

It is an arithmetic number, because the mean of its divisors is an integer number (64975478256).

Almost surely, 2^{1001011100110} is an apocalyptic number.

1001011100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001011100110 is an abundant number, since it is smaller than the sum of its proper divisors (1078204204082).

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

1001011100110 is a wasteful number, since it uses less digits than its factorization.

1001011100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138836608.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1001011100110 its reverse (110011101001), we get a palindrome (1111022201111).

The spelling of 1001011100110 in words is "one trillion, one billion, eleven million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 103 206 515 721 1030 1442 3605 7210 138836491 277672982 694182455 971855437 1388364910 1943710874 4859277185 9718554370 14300158573 28600317146 71500792865 100101110011 143001585730 200202220022 500505550055 1001011100110

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