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

bin | 11110101110001101111… |

… | …110111001111011100000 |

3 | 21110211101221000000110202 |

4 | 132232031332321323200 |

5 | 234042230010120000 |

6 | 4253513231044332 |

7 | 305346530402045 |

oct | 36561576717340 |

9 | 7424357000422 |

10 | 2111211020000 |

11 | 7443a5644175 |

12 | 2a12003706a8 |

13 | 124117913654 |

14 | 7427c8311cc |

15 | 39db658add5 |

hex | 1eb8dfb9ee0 |

2111211020000 has 120 divisors (see below), whose sum is σ = 5372997121800. Its totient is φ = 815364032000.

The previous prime is 2111211019979. The next prime is 2111211020041. The reversal of 2111211020000 is 201121112.

Adding to 2111211020000 its reverse (201121112), we get a palindrome (2111412141112).

It is a super-4 number, since 4×2111211020000^{4} (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1240010 + ... + 2400009.

It is an arithmetic number, because the mean of its divisors is an integer number (44774976015).

Almost surely, 2^{2111211020000} is an apocalyptic number.

2111211020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111211020000 is an abundant number, since it is smaller than the sum of its proper divisors (3261786101800).

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

2111211020000 is an equidigital number, since it uses as much as digits as its factorization.

2111211020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640078 (or 3640055 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The spelling of 2111211020000 in words is "two trillion, one hundred eleven billion, two hundred eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 10000 11600 14500 18125 20000 23200 29000 36250 58000 72500 116000 145000 290000 580000 3640019 7280038 14560076 18200095 29120152 36400190 58240304 72800380 91000475 105560551 116480608 145600760 182000950 211121102 291201520 364001900 422242204 455002375 527802755 582403040 728003800 844484408 910004750 1055605510 1456007600 1688968816 1820009500 2111211020 2275011875 2639013775 2912015200 3377937632 3640019000 4222422040 4550023750 5278027550 7280038000 8444844080 9100047500 10556055100 13195068875 14560076000 16889688160 18200095000 21112110200 26390137750 36400190000 42224220400 52780275500 65975344375 72800380000 84448440800 105560551000 131950688750 211121102000 263901377500 422242204000 527802755000 1055605510000 2111211020000

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