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

bin | 1110100010110… |

… | …11110111011101 |

3 | 22111120210202200 |

4 | 13101123313131 |

5 | 222213323401 |

6 | 20035042113 |

7 | 3011035332 |

oct | 721336735 |

9 | 274523680 |

10 | 122011101 |

11 | 62965823 |

12 | 34a40339 |

13 | 1c37c424 |

14 | 122c0989 |

15 | aaa1686 |

hex | 745bddd |

122011101 has 12 divisors (see below), whose sum is σ = 176496060. Its totient is φ = 81221760.

The previous prime is 122011069. The next prime is 122011139. The reversal of 122011101 is 101110221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61638201 + 60372900 = 7851^2 + 7770^2 .

It is not a de Polignac number, because 122011101 - 2^{5} = 122011069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3180 + ... + 15941.

It is an arithmetic number, because the mean of its divisors is an integer number (14708005).

Almost surely, 2^{122011101} is an apocalyptic number.

It is an amenable number.

122011101 is a deficient number, since it is larger than the sum of its proper divisors (54484959).

122011101 is a wasteful number, since it uses less digits than its factorization.

122011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19836 (or 19833 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 122011101 is about 11045.8635244149. The cubic root of 122011101 is about 495.9826089224.

Adding to 122011101 its reverse (101110221), we get a palindrome (223121322).

It can be divided in two parts, 1220 and 11101, that added together give a palindrome (12321).

The spelling of 122011101 in words is "one hundred twenty-two million, eleven thousand, one hundred one".

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