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3330121110320 = 245137448167807
BaseRepresentation
bin110000011101011010101…
…011111001001100110000
3102210100121212101020200202
4300131122223321030300
5414030042001012240
611025500404334332
7462410335252544
oct60353253711460
912710555336622
103330121110320
111074329606a84
124594969a43a8
131b204bb48cc4
14b72705aba24
155b9564a1315
hex3075aaf9330

3330121110320 has 80 divisors (see below), whose sum is σ = 7800901924608. Its totient is φ = 1322010869760.

The previous prime is 3330121110319. The next prime is 3330121110331. The reversal of 3330121110320 is 230111210333.

3330121110320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33301211103202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3330121110292 and 3330121110301.

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, 49077857 + ... + 49145663.

Almost surely, 23330121110320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330121110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900450962304).

3330121110320 is an abundant number, since it is smaller than the sum of its proper divisors (4470780814288).

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

3330121110320 is a wasteful number, since it uses less digits than its factorization.

3330121110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72438 (or 72432 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3330121110320 its reverse (230111210333), we get a palindrome (3560232320653).

The spelling of 3330121110320 in words is "three trillion, three hundred thirty billion, one hundred twenty-one million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 4481 5480 8962 10960 17924 22405 35848 44810 67807 71696 89620 135614 179240 271228 339035 358480 542456 613897 678070 1084912 1227794 1356140 2455588 2712280 3069485 4911176 5424560 6138970 9289559 9822352 12277940 18579118 24555880 37158236 46447795 49111760 74316472 92895590 148632944 185791180 303843167 371582360 607686334 743164720 1215372668 1519215835 2430745336 3038431670 4861490672 6076863340 12153726680 24307453360 41626513879 83253027758 166506055516 208132569395 333012111032 416265138790 666024222064 832530277580 1665060555160 3330121110320