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121103143020 = 223251019417079
BaseRepresentation
bin111000011001001001…
…1110101000001101100
3102120120212221002020100
41300302103311001230
53441004401034040
6131344540351100
711515022505546
oct1606223650154
9376525832210
10121103143020
11473a5626872
121b579245490
13b55c8c8812
145c0ba62696
15323bc5cb30
hex1c324f506c

121103143020 has 144 divisors (see below), whose sum is σ = 371429997120. Its totient is φ = 31935936000.

The previous prime is 121103143013. The next prime is 121103143033. The reversal of 121103143020 is 20341301121.

121103143020 is a `hidden beast` number, since 1 + 211 + 0 + 3 + 1 + 430 + 20 = 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 = 121103142984 and 121103143002.

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 47 ways as a sum of consecutive naturals, for example, 17103841 + ... + 17110919.

It is an arithmetic number, because the mean of its divisors is an integer number (2579374980).

Almost surely, 2121103143020 is an apocalyptic number.

121103143020 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 121103143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185714998560).

121103143020 is an abundant number, since it is smaller than the sum of its proper divisors (250326854100).

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

121103143020 is a wasteful number, since it uses less digits than its factorization.

121103143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121103143020 its reverse (20341301121), we get a palindrome (141444444141).

The spelling of 121103143020 in words is "one hundred twenty-one billion, one hundred three million, one hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 941 1010 1212 1515 1818 1882 2020 2823 3030 3636 3764 4545 4705 5646 6060 7079 8469 9090 9410 11292 14115 14158 16938 18180 18820 21237 28230 28316 33876 35395 42345 42474 56460 63711 70790 84690 84948 95041 106185 127422 141580 169380 190082 212370 254844 285123 318555 380164 424740 475205 570246 637110 714979 855369 950410 1140492 1274220 1425615 1429958 1710738 1900820 2144937 2851230 2859916 3421476 3574895 4276845 4289874 5702460 6434811 6661339 7149790 8553690 8579748 10724685 12869622 13322678 14299580 17107380 19984017 21449370 25739244 26645356 32174055 33306695 39968034 42898740 59952051 64348110 66613390 79936068 99920085 119904102 128696220 133226780 199840170 239808204 299760255 399680340 599520510 672795239 1199041020 1345590478 2018385717 2691180956 3363976195 4036771434 6055157151 6727952390 8073542868 10091928585 12110314302 13455904780 20183857170 24220628604 30275785755 40367714340 60551571510 121103143020