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130303132120 = 23576122033463
BaseRepresentation
bin111100101011010101…
…1000000000111011000
3110110100001022221201101
41321112223000013120
54113330100211440
6135505504201144
712262014230320
oct1712653000730
9413301287641
10130303132120
11502967a2847
12213063091b4
13c39792b155
146441856280
1535c979069a
hex1e56ac01d8

130303132120 has 128 divisors (see below), whose sum is σ = 340811043840. Its totient is φ = 43910346240.

The previous prime is 130303132109. The next prime is 130303132129. The reversal of 130303132120 is 21231303031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303132129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37625509 + ... + 37628971.

It is an arithmetic number, because the mean of its divisors is an integer number (2662586280).

Almost surely, 2130303132120 is an apocalyptic number.

130303132120 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 130303132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170405521920).

130303132120 is an abundant number, since it is smaller than the sum of its proper divisors (210507911720).

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

130303132120 is a wasteful number, since it uses less digits than its factorization.

130303132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 130303132120 its reverse (21231303031), we get a palindrome (151534435151).

The spelling of 130303132120 in words is "one hundred thirty billion, three hundred three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2203 2440 3416 3463 4270 4406 6926 8540 8812 11015 13852 15421 17080 17315 17624 22030 24241 27704 30842 34630 44060 48482 61684 69260 77105 88120 96964 121205 123368 134383 138520 154210 193928 211243 242410 268766 308420 422486 484820 537532 616840 671915 844972 940681 969640 1056215 1075064 1343830 1478701 1689944 1881362 2112430 2687660 2957402 3762724 4224860 4703405 5375320 5914804 7393505 7525448 7628989 8449720 9406810 11829608 14787010 15257978 18813620 29574020 30515956 37627240 38144945 53402923 59148040 61031912 76289890 106805846 152579780 213611692 267014615 305159560 427223384 465368329 534029230 930736658 1068058460 1861473316 2136116920 2326841645 3257578303 3722946632 4653683290 6515156606 9307366580 13030313212 16287891515 18614733160 26060626424 32575783030 65151566060 130303132120