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103110111300 = 223527107458879
BaseRepresentation
bin110000000000111010…
…1110111000001000100
3100212010220212100220010
41200001311313001010
53142132142030200
6115211303310220
710310110325250
oct1400165670104
9325126770803
10103110111300
113a801a73819
1217b9744b370
139952c67ba1
144dc212b260
152a372ce150
hex1801d77044

103110111300 has 144 divisors (see below), whose sum is σ = 344137973760. Its totient is φ = 23347712640.

The previous prime is 103110111277. The next prime is 103110111311. The reversal of 103110111300 is 3111011301.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4740 + ... + 454139.

It is an arithmetic number, because the mean of its divisors is an integer number (2389847040).

Almost surely, 2103110111300 is an apocalyptic number.

103110111300 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 103110111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172068986880).

103110111300 is an abundant number, since it is smaller than the sum of its proper divisors (241027862460).

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

103110111300 is a wasteful number, since it uses less digits than its factorization.

103110111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459010 (or 459003 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 103110111300 its reverse (3111011301), we get a palindrome (106221122601).

Subtracting from 103110111300 its reverse (3111011301), we obtain a palindrome (99999099999).

It can be divided in two parts, 1031101 and 11300, that added together give a palindrome (1042401).

The spelling of 103110111300 in words is "one hundred three billion, one hundred ten million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 107 140 150 175 210 214 300 321 350 420 428 525 535 642 700 749 1050 1070 1284 1498 1605 2100 2140 2247 2675 2996 3210 3745 4494 5350 6420 7490 8025 8988 10700 11235 14980 16050 18725 22470 32100 37450 44940 56175 74900 112350 224700 458879 917758 1376637 1835516 2294395 2753274 3212153 4588790 5506548 6424306 6883185 9177580 9636459 11471975 12848612 13766370 16060765 19272918 22943950 27532740 32121530 34415925 38545836 45887900 48182295 49100053 64243060 68831850 80303825 96364590 98200106 137663700 147300159 160607650 192729180 196400212 240911475 245500265 294600318 321215300 343700371 481822950 491000530 589200636 687400742 736500795 963645900 982001060 1031101113 1227501325 1374801484 1473001590 1718501855 2062202226 2455002650 2946003180 3437003710 3682503975 4124404452 4910005300 5155505565 6874007420 7365007950 8592509275 10311011130 14730015900 17185018550 20622022260 25777527825 34370037100 51555055650 103110111300