Search a number
-
+
103320052200 = 2335522125927
BaseRepresentation
bin110000000111001011…
…0101110000111101000
3100212200112220110200000
41200032112232013220
53143044413132300
6115244203143000
710315236644661
oct1401626560750
9325615813600
10103320052200
113a8aa5264a2
1218035814a60
1399875c2b81
145001d7a368
152a4a94dc00
hex180e5ae1e8

103320052200 has 144 divisors (see below), whose sum is σ = 359834573280. Its totient is φ = 27552000960.

The previous prime is 103320052189. The next prime is 103320052223. The reversal of 103320052200 is 2250023301.

It is a super-2 number, since 2×1033200522002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1014364 + ... + 1111563.

Almost surely, 2103320052200 is an apocalyptic number.

103320052200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103320052200 is an abundant number, since it is smaller than the sum of its proper divisors (256514521080).

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

103320052200 is a wasteful number, since it uses less digits than its factorization.

103320052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125958 (or 2125937 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 103320052200 its reverse (2250023301), we get a palindrome (105570075501).

The spelling of 103320052200 in words is "one hundred three billion, three hundred twenty million, fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 48600 2125927 4251854 6377781 8503708 10629635 12755562 17007416 19133343 21259270 25511124 31888905 38266686 42518540 51022248 53148175 57400029 63777810 76533372 85037080 95666715 106296350 114800058 127555620 153066744 159444525 172200087 191333430 212592700 229600116 255111240 287000145 318889050 344400174 382666860 425185400 459200232 478333575 516600261 574000290 637778100 688800348 765333720 861000435 956667150 1033200522 1148000580 1275556200 1377600696 1435000725 1722000870 1913334300 2066401044 2296001160 2583001305 2870001450 3444001740 3826668600 4132802088 4305002175 5166002610 5740002900 6888003480 8610004350 10332005220 11480005800 12915006525 17220008700 20664010440 25830013050 34440017400 51660026100 103320052200