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

bin | 10111110110101… |

… | …00110100000000 |

3 | 111221112012010121 |

4 | 23323110310000 |

5 | 402211213440 |

6 | 31504510024 |

7 | 4646555122 |

oct | 1373246400 |

9 | 457465117 |

10 | 200101120 |

11 | a2a51a2a |

12 | 5701b314 |

13 | 325c133b |

14 | 1c80b212 |

15 | 1287934a |

hex | bed4d00 |

200101120 has 36 divisors (see below), whose sum is σ = 479307780. Its totient is φ = 80039936.

The previous prime is 200101079. The next prime is 200101133. The reversal of 200101120 is 21101002.

Adding to 200101120 its reverse (21101002), we get a palindrome (221202122).

It can be written as a sum of positive squares in 2 ways, for example, as 85525504 + 114575616 = 9248^2 + 10704^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76885 + ... + 79444.

It is an arithmetic number, because the mean of its divisors is an integer number (13314105).

Almost surely, 2^{200101120} is an apocalyptic number.

200101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101120 is an abundant number, since it is smaller than the sum of its proper divisors (279206660).

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

200101120 is an equidigital number, since it uses as much as digits as its factorization.

200101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156350 (or 156336 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 200101120 is about 14145.7103038342. The cubic root of 200101120 is about 584.9020899280.

The spelling of 200101120 in words is "two hundred million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 156329 312658 625316 781645 1250632 1563290 2501264 3126580 5002528 6253160 10005056 12506320 20010112 25012640 40020224 50025280 100050560 200101120

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