Search a number
-
+
13312000242200 = 23521118049335249
BaseRepresentation
bin1100000110110111000100…
…0010111011001000011000
31202010121121012000000121102
43001231301002323020120
53221100434030222300
644151240512330532
72542521530036642
oct301556102731030
952117535000542
1013312000242200
114272651103630
1215abb55b43a48
13757415a04b4a
14340438c09892
151814206130d5
hexc1b710bb218

13312000242200 has 96 divisors (see below), whose sum is σ = 33766044750000. Its totient is φ = 4840444723200.

The previous prime is 13312000242199. The next prime is 13312000242251. The reversal of 13312000242200 is 224200021331.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39540176 + ... + 39875424.

Almost surely, 213312000242200 is an apocalyptic number.

13312000242200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312000242200 is an abundant number, since it is smaller than the sum of its proper divisors (20454044507800).

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

13312000242200 is a wasteful number, since it uses less digits than its factorization.

13312000242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353325 (or 353316 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13312000242200 its reverse (224200021331), we get a palindrome (13536200263531).

The spelling of 13312000242200 in words is "thirteen trillion, three hundred twelve billion, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 18049 36098 72196 90245 144392 180490 198539 335249 360980 397078 451225 670498 721960 794156 902450 992695 1340996 1588312 1676245 1804900 1985390 2681992 3352490 3609800 3687739 3970780 4963475 6704980 7375478 7941560 8381225 9926950 13409960 14750956 16762450 18438695 19853900 29501912 33524900 36877390 39707800 67049800 73754780 92193475 147509560 184386950 368773900 737547800 6050909201 12101818402 24203636804 30254546005 48407273608 60509092010 66560001211 121018184020 133120002422 151272730025 242036368040 266240004844 302545460050 332800006055 532480009688 605090920100 665600012110 1210181840200 1331200024220 1664000030275 2662400048440 3328000060550 6656000121100 13312000242200