Search a number
-
+
13020333200 = 245279714789
BaseRepresentation
bin11000010000001001…
…01000010010010000
31020121102001110100222
430020010220102100
5203131201130300
65551554532212
7640441002050
oct141004502220
936542043328
1013020333200
115581703056
122634597068
1312c6670994
148b733d560
1551311b785
hex308128490

13020333200 has 120 divisors (see below), whose sum is σ = 35794405440. Its totient is φ = 4458585600.

The previous prime is 13020333197. The next prime is 13020333211. The reversal of 13020333200 is 233302031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716406 + ... + 2721194.

It is an arithmetic number, because the mean of its divisors is an integer number (298286712).

Almost surely, 213020333200 is an apocalyptic number.

13020333200 is a gapful number since it is divisible by the number (10) 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 13020333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17897202720).

13020333200 is an abundant number, since it is smaller than the sum of its proper divisors (22774072240).

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

13020333200 is a wasteful number, since it uses less digits than its factorization.

13020333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 13020333200 its reverse (233302031), we get a palindrome (13253635231).

The spelling of 13020333200 in words is "thirteen billion, twenty million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 971 1400 1942 2800 3884 4789 4855 6797 7768 9578 9710 13594 15536 19156 19420 23945 24275 27188 33523 33985 38312 38840 47890 48550 54376 67046 67970 76624 77680 95780 97100 108752 119725 134092 135940 167615 169925 191560 194200 239450 268184 271880 335230 339850 383120 388400 478900 536368 543760 670460 679700 838075 957800 1340920 1359400 1676150 1915600 2681840 2718800 3352300 4650119 6704600 9300238 13409200 18600476 23250595 32550833 37200952 46501190 65101666 74401904 93002380 116252975 130203332 162754165 186004760 232505950 260406664 325508330 372009520 465011900 520813328 651016660 813770825 930023800 1302033320 1627541650 1860047600 2604066640 3255083300 6510166600 13020333200