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130303013120 = 285715719257
BaseRepresentation
bin111100101011010101…
…0100011000100000000
3110110100001002220110222
41321112222203010000
54113330032404440
6135505501442212
712262013223350
oct1712652430400
9413301086428
10130303013120
11502967213a5
1221306270368
13c3978b8c37
146441824b60
1535c976a2b5
hex1e56aa3100

130303013120 has 144 divisors (see below), whose sum is σ = 356970112128. Its totient is φ = 44642058240.

The previous prime is 130303013119. The next prime is 130303013299. The reversal of 130303013120 is 21310303031.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14071532 + ... + 14080788.

It is an arithmetic number, because the mean of its divisors is an integer number (2478959112).

Almost surely, 2130303013120 is an apocalyptic number.

130303013120 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 130303013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178485056064).

130303013120 is an abundant number, since it is smaller than the sum of its proper divisors (226667099008).

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

130303013120 is an equidigital number, since it uses as much as digits as its factorization.

130303013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10856 (or 10842 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 130303013120 its reverse (21310303031), we get a palindrome (151613316151).

The spelling of 130303013120 in words is "one hundred thirty billion, three hundred three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1571 1792 2240 3142 4480 6284 7855 8960 9257 10997 12568 15710 18514 21994 25136 31420 37028 43988 46285 50272 54985 62840 64799 74056 87976 92570 100544 109970 125680 129598 148112 175952 185140 201088 219940 251360 259196 296224 323995 351904 370280 402176 439880 502720 518392 592448 647990 703808 740560 879760 1005440 1036784 1184896 1295980 1407616 1481120 1759520 2010880 2073568 2369792 2591960 2815232 2962240 3519040 4147136 5183920 5924480 7038080 8294272 10367840 11848960 14076160 14542747 16588544 20735680 29085494 41471360 58170988 72713735 82942720 101799229 116341976 145427470 203598458 232683952 290854940 407196916 465367904 508996145 581709880 814393832 930735808 1017992290 1163419760 1628787664 1861471616 2035984580 2326839520 3257575328 3722943232 4071969160 4653679040 6515150656 8143938320 9307358080 13030301312 16287876640 18614716160 26060602624 32575753280 65151506560 130303013120