Search a number
-
+
3002332001120 = 255281431154937
BaseRepresentation
bin101011101100001000111…
…011101011001101100000
3101122000112200100012120222
4223230020323223031200
5343142233443013440
610215130254222212
7426624404640134
oct53541073531540
911560480305528
103002332001120
11a58311164731
12405a56ab4968
1318a1709cab1a
14a54568d53c4
155316e3372b5
hex2bb08eeb360

3002332001120 has 96 divisors (see below), whose sum is σ = 7134813092736. Its totient is φ = 1193874841600.

The previous prime is 3002332001087. The next prime is 3002332001161. The reversal of 3002332001120 is 211002332003.

3002332001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 19300292 + ... + 19455228.

It is an arithmetic number, because the mean of its divisors is an integer number (74320969716).

Almost surely, 23002332001120 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 3002332001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567406546368).

3002332001120 is an abundant number, since it is smaller than the sum of its proper divisors (4132481091616).

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

3002332001120 is a wasteful number, since it uses less digits than its factorization.

3002332001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155664 (or 155656 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 3002332001120 its reverse (211002332003), we get a palindrome (3213334333123).

The spelling of 3002332001120 in words is "three trillion, two billion, three hundred thirty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 431 562 862 1124 1405 1724 2155 2248 2810 3448 4310 4496 5620 6896 8620 8992 11240 13792 17240 22480 34480 44960 68960 121111 154937 242222 309874 484444 605555 619748 774685 968888 1211110 1239496 1549370 1937776 2422220 2478992 3098740 3875552 4844440 4957984 6197480 9688880 12394960 19377760 24789920 43537297 66777847 87074594 133555694 174149188 217686485 267111388 333889235 348298376 435372970 534222776 667778470 696596752 870745940 1068445552 1335556940 1393193504 1741491880 2136891104 2671113880 3482983760 5342227760 6965967520 10684455520 18764575007 37529150014 75058300028 93822875035 150116600056 187645750070 300233200112 375291500140 600466400224 750583000280 1501166000560 3002332001120