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

bin | 1001101001010100110001… |

… | …01111100011101000101100 |

3 | 2210002202120210200112210200 |

4 | 10310222120233203220230 |

5 | 10240010323421024322 |

6 | 113040125552233500 |

7 | 4316311051431111 |

oct | 464523057435054 |

9 | 83082523615720 |

10 | 21211111111212 |

11 | 6838644282470 |

12 | 2466a3223b890 |

13 | bab27882a159 |

14 | 5348a22da908 |

15 | 26bb3a25c8ac |

hex | 134a98be3a2c |

21211111111212 has 72 divisors (see below), whose sum is σ = 60072090313872. Its totient is φ = 6253890249600.

The previous prime is 21211111111199. The next prime is 21211111111217.

It can be divided in two parts, 2121111 and 1111212, that added together give a palindrome (3232323).

21211111111212 is a *`hidden beast`* number, since 21 + 211 + 111 + 111 + 212 = 666.

21211111111212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21211111111212^{2} (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21211111111217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 723815239 + ... + 723844542.

Almost surely, 2^{21211111111212} is an apocalyptic number.

21211111111212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21211111111212 is an abundant number, since it is smaller than the sum of its proper divisors (38860979202660).

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

21211111111212 is a wasteful number, since it uses less digits than its factorization.

21211111111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447659839 (or 1447659834 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

The spelling of 21211111111212 in words is "twenty-one trillion, two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 1447659781 2895319562 4342979343 5790639124 8685958686 13028938029 15924257591 17371917372 26057876058 31848515182 47772772773 52115752116 53563411897 63697030364 95545545546 107126823794 143318318319 160690235691 191091091092 214253647588 286636636638 321380471382 482070707073 573273273276 589197530867 642760942764 964141414146 1178395061734 1767592592601 1928282828292 2356790123468 3535185185202 5302777777803 7070370370404 10605555555606 21211111111212

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