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12130300 = 22527133143
BaseRepresentation
bin101110010001…
…011111111100
3211211021122101
4232101133330
511101132200
61111554444
7205051210
oct56213774
924737571
1012130300
116935746
12408ba24
1326893c0
14187a940
1510e926a
hexb917fc

12130300 has 144 divisors (see below), whose sum is σ = 34220032. Its totient is φ = 3628800.

The previous prime is 12130289. The next prime is 12130309. The reversal of 12130300 is 303121.

12130300 = T151 + T152 + ... + T423.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130309) 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, 282079 + ... + 282121.

Almost surely, 212130300 is an apocalyptic number.

12130300 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 12130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17110016).

12130300 is an abundant number, since it is smaller than the sum of its proper divisors (22089732).

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

12130300 is a wasteful number, since it uses less digits than its factorization.

12130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 12130300 is about 3482.8580217976. The cubic root of 12130300 is about 229.7685131566.

Adding to 12130300 its reverse (303121), we get a palindrome (12433421).

The spelling of 12130300 in words is "twelve million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 31 35 43 50 52 62 65 70 86 91 100 124 130 140 155 172 175 182 215 217 260 301 310 325 350 364 403 430 434 455 559 602 620 650 700 775 806 860 868 910 1075 1085 1118 1204 1300 1333 1505 1550 1612 1820 2015 2150 2170 2236 2275 2666 2795 2821 3010 3100 3913 4030 4300 4340 4550 5332 5425 5590 5642 6020 6665 7525 7826 8060 9100 9331 10075 10850 11180 11284 13330 13975 14105 15050 15652 17329 18662 19565 20150 21700 26660 27950 28210 30100 33325 34658 37324 39130 40300 46655 55900 56420 66650 69316 70525 78260 86645 93310 97825 121303 133300 141050 173290 186620 195650 233275 242606 282100 346580 391300 433225 466550 485212 606515 866450 933100 1213030 1732900 2426060 3032575 6065150 12130300