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

bin | 100100011001000… |

… | …1010100101010100 |

3 | 10011002201211011000 |

4 | 1020302022211110 |

5 | 10000101010400 |

6 | 321100343300 |

7 | 42155156520 |

oct | 11062124524 |

9 | 3132654130 |

10 | 1221110100 |

11 | 577315101 |

12 | 2a0b44b30 |

13 | 165ca5c72 |

14 | b8266d80 |

15 | 7230a600 |

hex | 48c8a954 |

1221110100 has 144 divisors (see below), whose sum is σ = 4486518400. Its totient is φ = 279106560.

The previous prime is 1221110071. The next prime is 1221110101. The reversal of 1221110100 is 10111221.

It is a happy number.

It is a super-2 number, since 2×1221110100^{2} = 2982219752644020000, which contains 22 as substring.

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 (1221110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13405 + ... + 51204.

Almost surely, 2^{1221110100} is an apocalyptic number.

1221110100 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 1221110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243259200).

1221110100 is an abundant number, since it is smaller than the sum of its proper divisors (3265408300).

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

1221110100 is a wasteful number, since it uses less digits than its factorization.

1221110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64639 (or 64626 counting only the distinct ones).

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

The square root of 1221110100 is about 34944.3858151778. The cubic root of 1221110100 is about 1068.8537233897.

Adding to 1221110100 its reverse (10111221), we get a palindrome (1231221321).

The spelling of 1221110100 in words is "one billion, two hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 64609 129218 193827 258436 323045 387654 452263 581481 646090 775308 904526 969135 1162962 1292180 1356789 1615225 1744443 1809052 1938270 2261315 2325924 2713578 2907405 3230450 3488886 3876540 4070367 4522630 4845675 5427156 5814810 6460900 6783945 6977772 8140734 8722215 9045260 9691350 11306575 11629620 12211101 13567890 14537025 16281468 17444430 19382700 20351835 22613150 24422202 27135780 29074050 33919725 34888860 40703670 43611075 45226300 48844404 58148100 61055505 67839450 81407340 87222150 101759175 122111010 135678900 174444300 203518350 244222020 305277525 407036700 610555050 1221110100

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