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

bin | 1001001011111101111100… |

… | …0010001101001000000000 |

3 | 1022202122222200201110220102 |

4 | 2102333133002031020000 |

5 | 2310444234230310422 |

6 | 33252233134501532 |

7 | 2061534254262134 |

oct | 222773702151000 |

9 | 38678880643812 |

10 | 10101210010112 |

11 | 3244998792681 |

12 | 11718229648a8 |

13 | 583703555780 |

14 | 26cc88b673c4 |

15 | 127b504e4192 |

hex | 92fdf08d200 |

10101210010112 has 80 divisors (see below), whose sum is σ = 21817852943040. Its totient is φ = 4644369518592.

The previous prime is 10101210010097. The next prime is 10101210010139. The reversal of 10101210010112 is 21101001210101.

Adding to 10101210010112 its reverse (21101001210101), we get a palindrome (31202211220213).

It is a super-2 number, since 2×10101210010112^{2} (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10101210010093 and 10101210010102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134662 + ... + 4635717.

It is an arithmetic number, because the mean of its divisors is an integer number (272723161788).

Almost surely, 2^{10101210010112} is an apocalyptic number.

It is an amenable number.

10101210010112 is an abundant number, since it is smaller than the sum of its proper divisors (11716642932928).

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

10101210010112 is an equidigital number, since it uses as much as digits as its factorization.

10101210010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770673 (or 5770657 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

The spelling of 10101210010112 in words is "ten trillion, one hundred one billion, two hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 263 416 512 526 832 1052 1664 2104 3328 3419 4208 6656 6838 8416 13676 16832 27352 33664 54704 67328 109408 134656 218816 437632 875264 1750528 5770379 11540758 23081516 46163032 75014927 92326064 150029854 184652128 300059708 369304256 600119416 738608512 1200238832 1477217024 1517609677 2400477664 2954434048 3035219354 4800955328 6070438708 9601910656 12140877416 19203821312 19728925801 24281754832 38407642624 39457851602 48563509664 78915703204 97127019328 157831406408 194254038656 315662812816 388508077312 631325625632 777016154624 1262651251264 2525302502528 5050605005056 10101210010112

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