Search a number
-
+
103220221200 = 24352688312497
BaseRepresentation
bin110000000100001100…
…1111001010100010000
3100212102121001112021120
41200020121321110100
53142343334034300
6115230235322240
710312615255335
oct1401031712420
9325377045246
10103220221200
113a85913aa38
12180082b0380
13996ca0b285
144dd29d098c
152a41cce3a0
hex1808679510

103220221200 has 120 divisors (see below), whose sum is σ = 330723275808. Its totient is φ = 27519191040.

The previous prime is 103220221183. The next prime is 103220221229. The reversal of 103220221200 is 2122022301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103220221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8253352 + ... + 8265848.

Almost surely, 2103220221200 is an apocalyptic number.

103220221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103220221200 is an abundant number, since it is smaller than the sum of its proper divisors (227503054608).

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

103220221200 is a wasteful number, since it uses less digits than its factorization.

103220221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19401 (or 19390 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103220221200 its reverse (2122022301), we get a palindrome (105342243501).

The spelling of 103220221200 in words is "one hundred three billion, two hundred twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 6883 12497 13766 20649 24994 27532 34415 37491 41298 49988 55064 62485 68830 74982 82596 99976 103245 110128 124970 137660 149964 165192 172075 187455 199952 206490 249940 275320 299928 312425 330384 344150 374910 412980 499880 516225 550640 599856 624850 688300 749820 825960 937275 999760 1032450 1249700 1376600 1499640 1651920 1874550 2064900 2499400 2753200 2999280 3749100 4129800 4998800 7498200 8259600 14996400 86016851 172033702 258050553 344067404 430084255 516101106 688134808 860168510 1032202212 1290252765 1376269616 1720337020 2064404424 2150421275 2580505530 3440674040 4128808848 4300842550 5161011060 6451263825 6881348080 8601685100 10322022120 12902527650 17203370200 20644044240 25805055300 34406740400 51610110600 103220221200