Search a number
-
+
103203201200 = 24521159397547
BaseRepresentation
bin110000000011101100…
…0111110000010110000
3100212101102000211020012
41200013120332002300
53142330004414300
6115224430434052
710312320510341
oct1400730760260
9325342024205
10103203201200
113a84a575620
1218002662928
13996932c378
144dd06400c8
152a4056b435
hex180763e0b0

103203201200 has 120 divisors (see below), whose sum is σ = 275071412160. Its totient is φ = 36892268800.

The previous prime is 103203201191. The next prime is 103203201239. The reversal of 103203201200 is 2102302301.

It is a happy 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, 60827 + ... + 458373.

It is an arithmetic number, because the mean of its divisors is an integer number (2292261768).

Almost surely, 2103203201200 is an apocalyptic number.

103203201200 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 103203201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137535706080).

103203201200 is an abundant number, since it is smaller than the sum of its proper divisors (171868210960).

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

103203201200 is a wasteful number, since it uses less digits than its factorization.

103203201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397635 (or 397624 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103203201200 its reverse (2102302301), we get a palindrome (105305503501).

It can be divided in two parts, 103203 and 201200, that added together give a palindrome (304403).

The spelling of 103203201200 in words is "one hundred three billion, two hundred three million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 59 80 88 100 110 118 176 200 220 236 275 295 400 440 472 550 590 649 880 944 1100 1180 1298 1475 2200 2360 2596 2950 3245 4400 4720 5192 5900 6490 10384 11800 12980 16225 23600 25960 32450 51920 64900 129800 259600 397547 795094 1590188 1987735 3180376 3975470 4373017 6360752 7950940 8746034 9938675 15901880 17492068 19877350 21865085 23455273 31803760 34984136 39754700 43730170 46910546 69968272 79509400 87460340 93821092 109325425 117276365 159018800 174920680 187642184 218650850 234552730 258008003 349841360 375284368 437301700 469105460 516016006 586381825 874603400 938210920 1032032012 1172763650 1290040015 1749206800 1876421840 2064064024 2345527300 2580080030 4128128048 4691054600 5160160060 6450200075 9382109200 10320320120 12900400150 20640640240 25800800300 51601600600 103203201200