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

bin | 111110111011111000… |

… | …0001010100000000001 |

3 | 110220212001101220000001 |

4 | 1331313300022200001 |

5 | 4203243143211201 |

6 | 142031040000001 |

7 | 12523135254565 |

oct | 1756760124001 |

9 | 426761356001 |

10 | 135153100801 |

11 | 52355447024 |

12 | 2223a600001 |

13 | c98b6797c4 |

14 | 6781a216a5 |

15 | 37b045d301 |

hex | 1f77c0a801 |

135153100801 has 2 divisors, whose sum is σ = 135153100802. Its totient is φ = 135153100800.

The previous prime is 135153100799. The next prime is 135153100811. The reversal of 135153100801 is 108001351531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85746480625 + 49406620176 = 292825^2 + 222276^2 .

It is an emirp because it is prime and its reverse (108001351531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135153100801 - 2^{1} = 135153100799 is a prime.

It is a super-2 number, since 2×135153100801^{2} (a number of 23 digits) contains 22 as substring.

Together with 135153100799, it forms a pair of twin primes.

It is a self number, because there is not a number *n* which added to its sum of digits gives 135153100801.

It is not a weakly prime, because it can be changed into another prime (135153100811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67576550400 + 67576550401.

It is an arithmetic number, because the mean of its divisors is an integer number (67576550401).

Almost surely, 2^{135153100801} is an apocalyptic number.

It is an amenable number.

135153100801 is a deficient number, since it is larger than the sum of its proper divisors (1).

135153100801 is an equidigital number, since it uses as much as digits as its factorization.

135153100801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 135153100801 in words is "one hundred thirty-five billion, one hundred fifty-three million, one hundred thousand, eight hundred one".

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