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

bin | 100110100001… |

… | …110100100000 |

3 | 201000010121002 |

4 | 212201310200 |

5 | 10041200000 |

6 | 1000251132 |

7 | 151564031 |

oct | 46416440 |

9 | 21003532 |

10 | 10100000 |

11 | 5779309 |

12 | 3470aa8 |

13 | 2128241 |

14 | 14aca88 |

15 | d478d5 |

hex | 9a1d20 |

10100000 has 72 divisors (see below), whose sum is σ = 25099956. Its totient is φ = 4000000.

The previous prime is 10099997. The next prime is 10100009. The reversal of 10100000 is 101.

It can be written as a sum of positive squares in 6 ways, for example, as 38416 + 10061584 = 196^2 + 3172^2 .

It is a sliding number, since 10100000 = 100000 + 10000000 and 1/100000 + 1/10000000 = 0.000010100000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10100009) 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, 99950 + ... + 100050.

Almost surely, 2^{10100000} is an apocalyptic number.

10100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549978).

10100000 is an abundant number, since it is smaller than the sum of its proper divisors (14999956).

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

10100000 is an frugal number, since it uses more digits than its factorization.

10100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 10100000 is about 3178.0497164141. The cubic root of 10100000 is about 216.1592332945.

Adding to 10100000 its reverse (101), we get a palindrome (10100101).

10100000 divided by its reverse (101) gives a 5-th power (100000 = 10^{5}).

The spelling of 10100000 in words is "ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3125 3232 4000 4040 5000 5050 6250 8080 10000 10100 12500 12625 16160 20000 20200 25000 25250 40400 50000 50500 63125 80800 100000 101000 126250 202000 252500 315625 404000 505000 631250 1010000 1262500 2020000 2525000 5050000 10100000

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