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

bin | 100111001101111101… |

… | …101010110100100100 |

3 | 11000200201202212020200 |

4 | 213031331222310210 |

5 | 1142220202413444 |

6 | 31202315430500 |

7 | 3020346542445 |

oct | 471575526444 |

9 | 130621685220 |

10 | 42110201124 |

11 | 1694a124412 |

12 | 81b2755430 |

13 | 3c81302694 |

14 | 20769512cc |

15 | 1166db6969 |

hex | 9cdf6ad24 |

42110201124 has 36 divisors (see below), whose sum is σ = 106542363564. Its totient is φ = 14023924992.

The previous prime is 42110201099. The next prime is 42110201167.

42110201124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 13576910400 + 28533290724 = 116520^2 + 168918^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 42110201097 and 42110201106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493657 + ... + 572640.

It is an arithmetic number, because the mean of its divisors is an integer number (2959510099).

Almost surely, 2^{42110201124} is an apocalyptic number.

It is an amenable number.

42110201124 is an abundant number, since it is smaller than the sum of its proper divisors (64432162440).

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

42110201124 is a wasteful number, since it uses less digits than its factorization.

42110201124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067404 (or 1067399 counting only the distinct ones).

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

The spelling of 42110201124 in words is "forty-two billion, one hundred ten million, two hundred one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1097 2194 3291 4388 6582 9873 13164 19746 39492 1066297 2132594 3198891 4265188 6397782 9596673 12795564 19193346 38386692 1169727809 2339455618 3509183427 4678911236 7018366854 10527550281 14036733708 21055100562 42110201124

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