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1120010020020 = 2232546167719937
BaseRepresentation
bin10000010011000101110…
…011001010010010110100
310222001221102110002212100
4100103011303022102310
5121322240031120040
62214305301422100
7143626615043223
oct20230563122264
93861842402770
101120010020020
113a1aa2504221
1216109510a930
13818025808c8
143c2ccc3acba
151e20254ab30
hex104c5cca4b4

1120010020020 has 144 divisors (see below), whose sum is σ = 3409933454928. Its totient is φ = 297566330880.

The previous prime is 1120010020013. The next prime is 1120010020043. The reversal of 1120010020020 is 200200100211.

It can be written as a sum of positive squares in 8 ways, for example, as 282038436 + 1119727981584 = 16794^2 + 1058172^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1120010019984 and 1120010020011.

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 47 ways as a sum of consecutive naturals, for example, 56167492 + ... + 56187428.

It is an arithmetic number, because the mean of its divisors is an integer number (23680093437).

Almost surely, 21120010020020 is an apocalyptic number.

1120010020020 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 1120010020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704966727464).

1120010020020 is an abundant number, since it is smaller than the sum of its proper divisors (2289923434908).

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

1120010020020 is a wasteful number, since it uses less digits than its factorization.

1120010020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21090 (or 21085 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1120010020020 its reverse (200200100211), we get a palindrome (1320210120231).

The spelling of 1120010020020 in words is "one trillion, one hundred twenty billion, ten million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 461 677 922 1354 1383 1844 2031 2305 2708 2766 3385 4062 4149 4610 5532 6093 6770 6915 8124 8298 9220 10155 12186 13540 13830 16596 19937 20310 20745 24372 27660 30465 39874 40620 41490 59811 60930 79748 82980 99685 119622 121860 179433 199370 239244 299055 312097 358866 398740 598110 624194 717732 897165 936291 1196220 1248388 1560485 1794330 1872582 2808873 3120970 3588660 3745164 4681455 5617746 6241940 9190957 9362910 11235492 13497349 14044365 18381914 18725820 26994698 27572871 28088730 36763828 40492047 45954785 53989396 55145742 56177460 67486745 80984094 82718613 91909570 110291484 121476141 134973490 137864355 161968188 165437226 183819140 202460235 242952282 269946980 275728710 330874452 404920470 413593065 485904564 551457420 607380705 809840940 827186130 1214761410 1654372260 2429522820 6222277889 12444555778 18666833667 24889111556 31111389445 37333667334 56000501001 62222778890 74667334668 93334168335 112001002002 124445557780 186668336670 224002004004 280002505005 373336673340 560005010010 1120010020020