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11130300 = 22325283149
BaseRepresentation
bin101010011101…
…010110111100
3202221110220100
4222131112330
510322132200
61034321100
7163414566
oct52352674
922843810
1011130300
1163123a5
123889190
1323c919c
14169a336
15e9cd00
hexa9d5bc

11130300 has 108 divisors (see below), whose sum is σ = 35544600. Its totient is φ = 2912640.

The previous prime is 11130299. The next prime is 11130313. The reversal of 11130300 is 303111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74626 + ... + 74774.

Almost surely, 211130300 is an apocalyptic number.

11130300 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 11130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772300).

11130300 is an abundant number, since it is smaller than the sum of its proper divisors (24414300).

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

11130300 is a wasteful number, since it uses less digits than its factorization.

11130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

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

The square root of 11130300 is about 3336.2104250182. The cubic root of 11130300 is about 223.2726995616.

Adding to 11130300 its reverse (303111), we get a palindrome (11433411).

The spelling of 11130300 in words is "eleven million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 83 90 100 149 150 166 180 225 249 298 300 332 415 447 450 498 596 745 747 830 894 900 996 1245 1341 1490 1494 1660 1788 2075 2235 2490 2682 2980 2988 3725 3735 4150 4470 4980 5364 6225 6705 7450 7470 8300 8940 11175 12367 12450 13410 14900 14940 18675 22350 24734 24900 26820 33525 37101 37350 44700 49468 61835 67050 74202 74700 111303 123670 134100 148404 185505 222606 247340 309175 371010 445212 556515 618350 742020 927525 1113030 1236700 1855050 2226060 2782575 3710100 5565150 11130300