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130203130320 = 24335121749531
BaseRepresentation
bin111100101000010110…
…1100001100111010000
3110110002002011100001000
41321100231201213100
54113124000132240
6135451532542000
712256361230014
oct1712055414720
9413062140030
10130203130320
11502452aaa2a
1221298921900
13c37ccb68a3
146432464544
1535c0ada430
hex1e50b619d0

130203130320 has 160 divisors (see below), whose sum is σ = 448855021440. Its totient is φ = 34691604480.

The previous prime is 130203130307. The next prime is 130203130331. The reversal of 130203130320 is 23031302031.

130203130320 is a `hidden beast` number, since 1 + 30 + 2 + 0 + 313 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130203130293 and 130203130302.

It is a congruent number.

It is an unprimeable number.

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, 2603955 + ... + 2653485.

It is an arithmetic number, because the mean of its divisors is an integer number (2805343884).

Almost surely, 2130203130320 is an apocalyptic number.

130203130320 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 130203130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224427510720).

130203130320 is an abundant number, since it is smaller than the sum of its proper divisors (318651891120).

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

130203130320 is a wasteful number, since it uses less digits than its factorization.

130203130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50770 (or 50758 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130203130320 its reverse (23031302031), we get a palindrome (153234432351).

The spelling of 130203130320 in words is "one hundred thirty billion, two hundred three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1217 2160 2434 3651 4868 6085 7302 9736 10953 12170 14604 18255 19472 21906 24340 29208 32859 36510 43812 48680 49531 54765 58416 65718 73020 87624 97360 99062 109530 131436 146040 148593 164295 175248 198124 219060 247655 262872 292080 297186 328590 396248 438120 445779 495310 525744 594372 657180 742965 792496 876240 891558 990620 1188744 1314360 1337337 1485930 1783116 1981240 2228895 2377488 2628720 2674674 2971860 3566232 3962480 4457790 5349348 5943720 6686685 7132464 8915580 10698696 11887440 13373370 17831160 21397392 26746740 35662320 53493480 60279227 106986960 120558454 180837681 241116908 301396135 361675362 482233816 542513043 602792270 723350724 904188405 964467632 1085026086 1205584540 1446701448 1627539129 1808376810 2170052172 2411169080 2712565215 2893402896 3255078258 3616753620 4340104344 4822338160 5425130430 6510156516 7233507240 8137695645 8680208688 10850260860 13020313032 14467014480 16275391290 21700521720 26040626064 32550782580 43401043440 65101565160 130203130320