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110131330330 = 2572232479887
BaseRepresentation
bin110011010010001010…
…1101011110100011010
3101112021020112020201101
41212210111223310122
53301022110032310
6122332120342014
710646104601500
oct1464425536432
9345236466641
10110131330330
11427852a057a
121941691490a
13a501790068
14548a80c670
152ce88da43a
hex19a456bd1a

110131330330 has 144 divisors (see below), whose sum is σ = 241839198720. Its totient is φ = 36001568064.

The previous prime is 110131330327. The next prime is 110131330339. The reversal of 110131330330 is 33033131011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110131330298 and 110131330307.

It is not an unprimeable number, because it can be changed into a prime (110131330339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124161147 + ... + 124162033.

It is an arithmetic number, because the mean of its divisors is an integer number (1679438880).

Almost surely, 2110131330330 is an apocalyptic number.

110131330330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110131330330 is an abundant number, since it is smaller than the sum of its proper divisors (131707868390).

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

110131330330 is a wasteful number, since it uses less digits than its factorization.

110131330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 110131330330 its reverse (33033131011), we get a palindrome (143164461341).

The spelling of 110131330330 in words is "one hundred ten billion, one hundred thirty-one million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 230 245 322 479 490 529 805 887 958 1058 1127 1610 1774 2254 2395 2645 3353 3703 4435 4790 5290 5635 6209 6706 7406 8870 11017 11270 12418 16765 18515 20401 22034 23471 25921 31045 33530 37030 40802 43463 46942 51842 55085 62090 77119 86926 102005 110170 117355 129605 142807 154238 204010 217315 234710 253391 259210 285614 385595 424873 434630 469223 506782 539833 714035 771190 849746 938446 999649 1079666 1266955 1428070 1773737 1999298 2124365 2346115 2533910 2699165 2974111 3284561 3547474 4248730 4692230 4998245 5398330 5948222 6569122 8868685 9772079 9996490 12416159 14870555 16422805 17737370 19544158 20818777 22991927 24832318 29741110 32845610 41637554 45983854 48860395 62080795 68404553 97720790 104093885 114959635 124161590 136809106 208187770 224757817 229919270 342022765 449515634 478831871 684045530 957663742 1123789085 1573304719 2247578170 2394159355 3146609438 4788318710 7866523595 11013133033 15733047190 22026266066 55065665165 110131330330