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

bin | 11100111110010111… |

… | …111001000001000000 |

3 | 2222022012020210110000 |

4 | 130332113321001000 |

5 | 1002203433040222 |

6 | 22143045240000 |

7 | 2150652006063 |

oct | 347627710100 |

9 | 88265223400 |

10 | 31111221312 |

11 | 12215523056 |

12 | 6043103000 |

13 | 2c1a6744c2 |

14 | 1711c688da |

15 | c214799ac |

hex | 73e5f9040 |

31111221312 has 140 divisors (see below), whose sum is σ = 93392020480. Its totient is φ = 10239001344.

The previous prime is 31111221311. The next prime is 31111221353. The reversal of 31111221312 is 21312211113.

Adding to 31111221312 its reverse (21312211113), we get a palindrome (52423432425).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (36) and by the product (5184) of the squares of its digits.

It is not an unprimeable number, because it can be changed into a prime (31111221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 371553 + ... + 447519.

Almost surely, 2^{31111221312} is an apocalyptic number.

31111221312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31111221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46696010240).

31111221312 is an abundant number, since it is smaller than the sum of its proper divisors (62280799168).

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

31111221312 is an equidigital number, since it uses as much as digits as its factorization.

31111221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76070 (or 76051 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The spelling of 31111221312 in words is "thirty-one billion, one hundred eleven million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 158 162 192 216 237 288 316 324 432 474 576 632 648 711 864 948 1264 1296 1422 1728 1896 2133 2528 2592 2844 3792 4266 5056 5184 5688 6399 7584 8532 11376 12798 15168 17064 22752 25596 34128 45504 51192 68256 75967 102384 136512 151934 204768 227901 303868 409536 455802 607736 683703 911604 1215472 1367406 1823208 2051109 2430944 2734812 3646416 4102218 4861888 5469624 6001393 6153327 7292832 8204436 10939248 12002786 12306654 14585664 16408872 18004179 21878496 24005572 24613308 32817744 36008358 43756992 48011144 49226616 54012537 65635488 72016716 96022288 98453232 108025074 131270976 144033432 162037611 192044576 196906464 216050148 288066864 324075222 384089152 393812928 432100296 486112833 576133728 648150444 864200592 972225666 1152267456 1296300888 1728401184 1944451332 2592601776 3456802368 3888902664 5185203552 7777805328 10370407104 15555610656 31111221312

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