Search a number
-
+
110333312320 = 2657114477813
BaseRepresentation
bin110011011000001100…
…0001011110101000000
3101112210022120222220211
41212300120023311000
53301430311443240
6122404133443504
710654106452330
oct1466030136500
9345708528824
10110333312320
1142879307640
12194724a0594
13a53458c52a
1454a95890c0
152d0b4d6bea
hex19b060bd40

110333312320 has 112 divisors (see below), whose sum is σ = 327561049728. Its totient is φ = 34389596160.

The previous prime is 110333312293. The next prime is 110333312347. The reversal of 110333312320 is 23213333011.

It is an interprime number because it is at equal distance from previous prime (110333312293) and next prime (110333312347).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 110333312291 and 110333312300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214267 + ... + 2263546.

Almost surely, 2110333312320 is an apocalyptic number.

110333312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110333312320 is an abundant number, since it is smaller than the sum of its proper divisors (217227737408).

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

110333312320 is a wasteful number, since it uses less digits than its factorization.

110333312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477848 (or 4477838 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 110333312320 its reverse (23213333011), we get a palindrome (133546645331).

The spelling of 110333312320 in words is "one hundred ten billion, three hundred thirty-three million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 4477813 8955626 17911252 22389065 31344691 35822504 44778130 49255943 62689382 71645008 89556260 98511886 125378764 143290016 156723455 179112520 197023772 246279715 250757528 286580032 313446910 344791601 358225040 394047544 492559430 501515056 626893820 689583202 716450080 788095088 985118860 1003030112 1253787640 1379166404 1432900160 1576190176 1723958005 1970237720 2006060224 2507575280 2758332808 3152380352 3447916010 3940475440 5015150560 5516665616 6895832020 7880950880 10030301120 11033331232 13791664040 15761901760 22066662464 27583328080 55166656160 110333312320