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

bin | 111111000000010… |

… | …1110111010111010 |

3 | 12110100002111100200 |

4 | 1332000232322322 |

5 | 13312203341102 |

6 | 545440543030 |

7 | 103250510151 |

oct | 17600567272 |

9 | 5410074320 |

10 | 2114121402 |

11 | 995403778 |

12 | 4b0021a76 |

13 | 278cc3613 |

14 | 160ac4598 |

15 | c590651c |

hex | 7e02eeba |

2114121402 has 96 divisors (see below), whose sum is σ = 4903778880. Its totient is φ = 657054720.

The previous prime is 2114121371. The next prime is 2114121413. The reversal of 2114121402 is 2041214112.

Adding to 2114121402 its reverse (2041214112), we get a palindrome (4155335514).

2114121402 is a *`hidden beast`* number, since 211 + 412 + 1 + 40 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176777 + ... + 2177747.

It is an arithmetic number, because the mean of its divisors is an integer number (51081030).

Almost surely, 2^{2114121402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114121402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451889440).

2114121402 is an abundant number, since it is smaller than the sum of its proper divisors (2789657478).

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

2114121402 is a wasteful number, since it uses less digits than its factorization.

2114121402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114121402 is about 45979.5759223593. The cubic root of 2114121402 is about 1283.4431633594.

The spelling of 2114121402 in words is "two billion, one hundred fourteen million, one hundred twenty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 97 129 174 194 258 261 291 387 522 582 774 873 971 1247 1746 1942 2494 2813 2913 3741 4171 5626 5826 7482 8342 8439 8739 11223 12513 16878 17478 22446 25026 25317 28159 37539 41753 50634 56318 75078 83506 84477 94187 120959 125259 168954 188374 241918 250518 253431 282561 362877 375777 506862 565122 725754 751554 847683 1088631 1210837 1695366 2177262 2421674 2731423 3632511 4050041 5462846 7265022 8100082 8194269 10897533 12150123 16388538 21795066 24300246 24582807 36450369 49165614 72900738 117451189 234902378 352353567 704707134 1057060701 2114121402

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