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110002691344 = 24713378922943
BaseRepresentation
bin110011001110010101…
…0111101110100010000
3101111221021110201012111
41212130222331310100
53300241142110334
6122311243235104
710642653306640
oct1463452756420
9344837421174
10110002691344
1142719719167
121939b818a94
13a4b0c2cc10
1454776c4520
152cdc47a064
hex199cabdd10

110002691344 has 160 divisors (see below), whose sum is σ = 272442562560. Its totient is φ = 41863827456.

The previous prime is 110002691341. The next prime is 110002691377. The reversal of 110002691344 is 443196200011.

It is not an unprimeable number, because it can be changed into a prime (110002691341) 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 31 ways as a sum of consecutive naturals, for example, 4783137 + ... + 4806079.

It is an arithmetic number, because the mean of its divisors is an integer number (1702766016).

Almost surely, 2110002691344 is an apocalyptic number.

110002691344 is a gapful number since it is divisible by the number (14) 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 110002691344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136221281280).

110002691344 is an abundant number, since it is smaller than the sum of its proper divisors (162439871216).

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

110002691344 is a wasteful number, since it uses less digits than its factorization.

110002691344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23097 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 110002691344 its reverse (443196200011), we get a palindrome (553198891355).

The spelling of 110002691344 in words is "one hundred ten billion, two million, six hundred ninety-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 89 91 104 112 148 178 182 208 259 296 356 364 481 518 592 623 712 728 962 1036 1157 1246 1424 1456 1924 2072 2314 2492 3293 3367 3848 4144 4628 4984 6586 6734 7696 8099 9256 9968 13172 13468 16198 18512 22943 23051 26344 26936 32396 42809 45886 46102 52688 53872 64792 85618 91772 92204 129584 160601 171236 183544 184408 298259 299663 321202 342472 367088 368816 596518 599326 642404 684944 848891 1193036 1198652 1284808 1697782 2041927 2087813 2386072 2397304 2569616 3395564 4083854 4175626 4772144 4794608 5942237 6791128 8167708 8351252 11035583 11884474 13582256 14293489 16335416 16702504 22071166 23768948 26545051 28586978 32670832 33405008 44142332 47537896 53090102 57173956 75551299 77249081 88284664 95075792 106180204 114347912 151102598 154498162 176569328 185815357 212360408 228695824 302205196 308996324 371630714 424720816 528859093 604410392 617992648 743261428 982166887 1057718186 1208820784 1235985296 1486522856 1964333774 2115436372 2973045712 3928667548 4230872744 6875168209 7857335096 8461745488 13750336418 15714670192 27500672836 55001345672 110002691344