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120303330330 = 235171073676007
BaseRepresentation
bin111000000001010100…
…0110010010000011010
3102111112010221101111010
41300002220302100122
53432340123032310
6131133325514350
711456141302251
oct1600250622032
9374463841433
10120303330330
1147025103747
121b3954129b6
13b462cacc81
145b73745798
1531e1921320
hex1c02a3241a

120303330330 has 128 divisors (see below), whose sum is σ = 309461409792. Its totient is φ = 29825123328.

The previous prime is 120303330311. The next prime is 120303330337. The reversal of 120303330330 is 33033303021.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120303330297 and 120303330306.

It is not an unprimeable number, because it can be changed into a prime (120303330337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20024187 + ... + 20030193.

It is an arithmetic number, because the mean of its divisors is an integer number (2417667264).

Almost surely, 2120303330330 is an apocalyptic number.

120303330330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120303330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154730704896).

120303330330 is an abundant number, since it is smaller than the sum of its proper divisors (189158079462).

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

120303330330 is a wasteful number, since it uses less digits than its factorization.

120303330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508.

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 120303330330 its reverse (33033303021), we get a palindrome (153336633351).

The spelling of 120303330330 in words is "one hundred twenty billion, three hundred three million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 107 170 214 255 321 367 510 535 642 734 1070 1101 1605 1819 1835 2202 3210 3638 3670 5457 5505 6007 6239 9095 10914 11010 12014 12478 18021 18190 18717 27285 30035 31195 36042 37434 39269 54570 60070 62390 78538 90105 93585 102119 117807 180210 187170 196345 204238 235614 306357 392690 510595 589035 612714 642749 667573 1021190 1178070 1285498 1335146 1531785 1928247 2002719 2204569 3063570 3213745 3337865 3856494 4005438 4409138 6427490 6613707 6675730 9641235 10013595 10926733 11022845 13227414 19282470 20027190 21853466 22045690 32780199 33068535 37477673 54633665 65560398 66137070 74955346 109267330 112433019 163900995 187388365 224866038 235888883 327801990 374776730 471777766 562165095 707666649 1124330190 1179444415 1415333298 2358888830 3538333245 4010111011 7076666490 8020222022 12030333033 20050555055 24060666066 40101110110 60151665165 120303330330