Search a number
-
+
2111103300300 = 2235271803912329
BaseRepresentation
bin11110101110000111100…
…011111111001011001100
321110211010102022021211020
4132232013203333023030
5234042014421102200
64253454422154140
7305344051655331
oct36560743771314
97424112267736
102111103300300
1174434a85a825
122a1190282950
131240cb4c9197
147426c3d0988
1539dabdadea0
hex1eb878ff2cc

2111103300300 has 144 divisors (see below), whose sum is σ = 6195428467200. Its totient is φ = 554917798400.

The previous prime is 2111103300281. The next prime is 2111103300301. The reversal of 2111103300300 is 30033011112.

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 2111103300300.

It is not an unprimeable number, because it can be changed into a prime (2111103300301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171224536 + ... + 171236864.

It is an arithmetic number, because the mean of its divisors is an integer number (43023808800).

Almost surely, 22111103300300 is an apocalyptic number.

2111103300300 is a gapful number since it is divisible by the number (20) 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 2111103300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097714233600).

2111103300300 is an abundant number, since it is smaller than the sum of its proper divisors (4084325166900).

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

2111103300300 is a wasteful number, since it uses less digits than its factorization.

2111103300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20456 (or 20449 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 2111103300300 its reverse (30033011112), we get a palindrome (2141136311412).

The spelling of 2111103300300 in words is "two trillion, one hundred eleven billion, one hundred three million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 8039 10650 12329 16078 21300 24117 24658 32156 36987 40195 48234 49316 61645 73974 80390 96468 120585 123290 147948 160780 184935 200975 241170 246580 308225 369870 401950 482340 570769 602925 616450 739740 803900 875359 924675 1141538 1205850 1232900 1712307 1750718 1849350 2283076 2411700 2626077 2853845 3424614 3501436 3698700 4376795 5252154 5707690 6849228 8561535 8753590 10504308 11415380 13130385 14269225 17123070 17507180 21883975 26260770 28538450 34246140 42807675 43767950 52521540 57076900 65651925 85615350 87535900 99112831 131303850 171230700 198225662 262607700 297338493 396451324 495564155 594676986 991128310 1189353972 1486692465 1982256620 2477820775 2973384930 4955641550 5946769860 7037011001 7433462325 9911283100 14074022002 14866924650 21111033003 28148044004 29733849300 35185055005 42222066006 70370110010 84444132012 105555165015 140740220020 175925275025 211110330030 351850550050 422220660060 527775825075 703701100100 1055551650150 2111103300300