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130330203120 = 24335134641389
BaseRepresentation
bin111100101100001001…
…0010001001111110000
3110110101221021022011000
41321120102101033300
54113404012444440
6135512312322000
712262463306445
oct1713022211760
9413357238130
10130330203120
1150300002677
12213133a3300
13c3a0418bb0
1464452a19cc
1535cbd3b730
hex1e584913f0

130330203120 has 160 divisors (see below), whose sum is σ = 483447182400. Its totient is φ = 32081273856.

The previous prime is 130330203119. The next prime is 130330203139. The reversal of 130330203120 is 21302033031.

130330203120 is a `hidden beast` number, since 1 + 3 + 0 + 330 + 20 + 312 + 0 = 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 = 130330203093 and 130330203102.

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, 2292615 + ... + 2348774.

It is an arithmetic number, because the mean of its divisors is an integer number (3021544890).

Almost surely, 2130330203120 is an apocalyptic number.

130330203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130330203120 is an abundant number, since it is smaller than the sum of its proper divisors (353116979280).

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

130330203120 is a wasteful number, since it uses less digits than its factorization.

130330203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641424 (or 4641412 counting only the distinct ones).

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

Adding to 130330203120 its reverse (21302033031), we get a palindrome (151632236151).

The spelling of 130330203120 in words is "one hundred thirty billion, three hundred thirty million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 4641389 9282778 13924167 18565556 23206945 27848334 37131112 41772501 46413890 55696668 60338057 69620835 74262224 83545002 92827780 111393336 120676114 125317503 139241670 167090004 181014171 185655560 208862505 222786672 241352228 250635006 278483340 301690285 334180008 362028342 371311120 417725010 482704456 501270012 543042513 556966680 603380570 626587515 668360016 724056684 835450020 905070855 965408912 1002540024 1086085026 1113933360 1206761140 1253175030 1448113368 1629127539 1670900040 1810141710 2005080048 2172170052 2413522280 2506350060 2715212565 2896226736 3258255078 3341800080 3620283420 4344340104 4827044560 5012700120 5430425130 6516510156 7240566840 8145637695 8688680208 10025400240 10860850260 13033020312 14481133680 16291275390 21721700520 26066040624 32582550780 43443401040 65165101560 130330203120