Search a number
-
+
111020201100 = 22335245239091
BaseRepresentation
bin110011101100101010…
…0011101010010001100
3101121120012002120012000
41213121110131102030
53304332132413400
6123000232112300
711010120065454
oct1473124352214
9347505076160
10111020201100
11430a1011316
1219624535690
13a61398abb3
1455328acd64
152d4b969600
hex19d951d48c

111020201100 has 144 divisors (see below), whose sum is σ = 357027565440. Its totient is φ = 29595585600.

The previous prime is 111020201099. The next prime is 111020201143. The reversal of 111020201100 is 1102020111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12207555 + ... + 12216645.

Almost surely, 2111020201100 is an apocalyptic number.

111020201100 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 111020201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178513782720).

111020201100 is an abundant number, since it is smaller than the sum of its proper divisors (246007364340).

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

111020201100 is a wasteful number, since it uses less digits than its factorization.

111020201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13637 (or 13624 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111020201100 its reverse (1102020111), we get a palindrome (112122221211).

The spelling of 111020201100 in words is "one hundred eleven billion, twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4523 9046 9091 13569 18092 18182 22615 27138 27273 36364 40707 45230 45455 54276 54546 67845 81414 81819 90460 90910 109092 113075 122121 135690 136365 162828 163638 181820 203535 226150 227275 244242 245457 271380 272730 327276 339225 407070 409095 452300 454550 488484 490914 545460 610605 678450 681825 814140 818190 909100 981828 1017675 1221210 1227285 1356900 1363650 1636380 2035350 2045475 2442420 2454570 2727300 3053025 4070700 4090950 4909140 6106050 6136425 8181900 12212100 12272850 24545700 41118593 82237186 123355779 164474372 205592965 246711558 370067337 411185930 493423116 616778895 740134674 822371860 1027964825 1110202011 1233557790 1480269348 1850336685 2055929650 2220404022 2467115580 3083894475 3700673370 4111859300 4440808044 5551010055 6167788950 7401346740 9251683425 11102020110 12335577900 18503366850 22204040220 27755050275 37006733700 55510100550 111020201100