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13311310122200 = 2352592294926101
BaseRepresentation
bin1100000110110100011111…
…1010010100110011011000
31202010112211002102021221102
43001231013322110303120
53221043030342402300
644151044220530532
72542465450105166
oct301550772246330
952115732367842
1013311310122200
1142723275a2222
1215ab9a29b0a48
13757335a4480c
143403b12c4236
151813cec430d5
hexc1b47e94cd8

13311310122200 has 96 divisors (see below), whose sum is σ = 31610796534000. Its totient is φ = 5211419712000.

The previous prime is 13311310122193. The next prime is 13311310122281. The reversal of 13311310122200 is 222101311331.

It is a happy number.

13311310122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 239150 + ... + 5165250.

Almost surely, 213311310122200 is an apocalyptic number.

13311310122200 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 13311310122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805398267000).

13311310122200 is an abundant number, since it is smaller than the sum of its proper divisors (18299486411800).

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

13311310122200 is a wasteful number, since it uses less digits than its factorization.

13311310122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926405 (or 4926396 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13311310122200 its reverse (222101311331), we get a palindrome (13533411433531).

The spelling of 13311310122200 in words is "thirteen trillion, three hundred eleven billion, three hundred ten million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 229 236 295 458 472 590 916 1145 1180 1475 1832 2290 2360 2950 4580 5725 5900 9160 11450 11800 13511 22900 27022 45800 54044 67555 108088 135110 270220 337775 540440 675550 1351100 2702200 4926101 9852202 19704404 24630505 39408808 49261010 98522020 123152525 197044040 246305050 290639959 492610100 581279918 985220200 1128077129 1162559836 1453199795 2256154258 2325119672 2906399590 4512308516 5640385645 5812799180 7265998975 9024617032 11280771290 11625598360 14531997950 22561542580 28201928225 29063995900 45123085160 56403856450 58127991800 66556550611 112807712900 133113101222 225615425800 266226202444 332782753055 532452404888 665565506110 1331131012220 1663913765275 2662262024440 3327827530550 6655655061100 13311310122200