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113105300 = 225271137397
BaseRepresentation
bin1101011110111…
…01100110010100
321212211100022012
412233131212110
5212423332200
615120123352
72542244030
oct657354624
9255740265
10113105300
1158932760
1231a66558
131a581919
14110431c0
159de2a35
hex6bdd994

113105300 has 144 divisors (see below), whose sum is σ = 315063168. Its totient is φ = 34214400.

The previous prime is 113105299. The next prime is 113105303. The reversal of 113105300 is 3501311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113105303) 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, 284702 + ... + 285098.

Almost surely, 2113105300 is an apocalyptic number.

113105300 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 113105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157531584).

113105300 is an abundant number, since it is smaller than the sum of its proper divisors (201957868).

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

113105300 is a wasteful number, since it uses less digits than its factorization.

113105300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 113105300 is about 10635.0975547947. The cubic root of 113105300 is about 483.6089378087.

Adding to 113105300 its reverse (3501311), we get a palindrome (116606611).

The spelling of 113105300 in words is "one hundred thirteen million, one hundred five thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 37 44 50 55 70 74 77 100 110 140 148 154 175 185 220 259 275 308 350 370 385 397 407 518 550 700 740 770 794 814 925 1036 1100 1295 1540 1588 1628 1850 1925 1985 2035 2590 2779 2849 3700 3850 3970 4070 4367 5180 5558 5698 6475 7700 7940 8140 8734 9925 10175 11116 11396 12950 13895 14245 14689 17468 19850 20350 21835 25900 27790 28490 29378 30569 39700 40700 43670 55580 56980 58756 61138 69475 71225 73445 87340 102823 109175 122276 138950 142450 146890 152845 161579 205646 218350 277900 284900 293780 305690 323158 367225 411292 436700 514115 611380 646316 734450 764225 807895 1028230 1131053 1468900 1528450 1615790 2056460 2262106 2570575 3056900 3231580 4039475 4524212 5141150 5655265 8078950 10282300 11310530 16157900 22621060 28276325 56552650 113105300