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

bin | 1100000101010… |

… | …10001011000010 |

3 | 21001201122020000 |

4 | 12002222023002 |

5 | 201422012242 |

6 | 14020300430 |

7 | 2340356100 |

oct | 602521302 |

9 | 231648200 |

10 | 101360322 |

11 | 52240568 |

12 | 29b41716 |

13 | 17ccba2b |

14 | d666c70 |

15 | 8d72a4c |

hex | 60aa2c2 |

101360322 has 90 divisors (see below), whose sum is σ = 266562153. Its totient is φ = 28703808.

The previous prime is 101360321. The next prime is 101360377. The reversal of 101360322 is 223063101.

Multipling 101360322 by its sum of digits (18), we get a square (1824485796 = 42714^{2}).

101360322 divided by its sum of digits (18) gives a square (5631129 = 2373^{2}).

It can be written as a sum of positive squares in 2 ways, for example, as 64016001 + 37344321 = 8001^2 + 6111^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=7119.

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* = 101360295 and 101360304.

It is not an unprimeable number, because it can be changed into a prime (101360321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 896938 + ... + 897050.

Almost surely, 2^{101360322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101360322

101360322 is an abundant number, since it is smaller than the sum of its proper divisors (165201831).

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

101360322 is an equidigital number, since it uses as much as digits as its factorization.

101360322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 101360322 is about 10067.7863505341. The cubic root of 101360322 is about 466.2540964740.

The spelling of 101360322 in words is "one hundred one million, three hundred sixty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 113 126 147 162 189 226 294 339 378 441 567 678 791 882 1017 1134 1323 1582 2034 2373 2646 3051 3969 4746 5537 6102 7119 7938 9153 11074 12769 14238 16611 18306 21357 25538 33222 38307 42714 49833 64071 76614 89383 99666 114921 128142 149499 178766 229842 268149 298998 344763 448497 536298 625681 689526 804447 896994 1034289 1251362 1608894 1877043 2068578 2413341 3754086 4826682 5631129 7240023 11262258 14480046 16893387 33786774 50680161 101360322

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