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20110002111120 = 24353122871181879
BaseRepresentation
bin1001001001010001110011…
…00010000100001010010000
32122012111102121211201221110
410210220321202010022100
510113440241020023440
6110434224001053320
74143620412364125
oct444507142041220
978174377751843
1020110002111120
116453670a1a279
122309553027240
13b2b49906c80c
144d748783074c
1524d192249080
hex124a39884290

20110002111120 has 160 divisors (see below), whose sum is σ = 64380199403520. Its totient is φ = 5187404367360.

The previous prime is 20110002111113. The next prime is 20110002111137. The reversal of 20110002111120 is 2111120001102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20110002111096 and 20110002111105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16424341 + ... + 17606219.

It is an arithmetic number, because the mean of its divisors is an integer number (402376246272).

Almost surely, 220110002111120 is an apocalyptic number.

20110002111120 is a gapful number since it is divisible by the number (20) 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 20110002111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32190099701760).

20110002111120 is an abundant number, since it is smaller than the sum of its proper divisors (44270197292400).

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

20110002111120 is a wasteful number, since it uses less digits than its factorization.

20110002111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184213 (or 1184207 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20110002111120 its reverse (2111120001102), we get a palindrome (22221122112222).

The spelling of 20110002111120 in words is "twenty trillion, one hundred ten billion, two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2287 2480 3720 4574 6861 7440 9148 11435 13722 18296 22870 27444 34305 36592 45740 54888 68610 70897 91480 109776 137220 141794 182960 212691 274440 283588 354485 425382 548880 567176 708970 850764 1063455 1134352 1181879 1417940 1701528 2126910 2363758 2835880 3403056 3545637 4253820 4727516 5671760 5909395 7091274 8507640 9455032 11818790 14182548 17015280 17728185 18910064 23637580 28365096 35456370 36638249 47275160 56730192 70912740 73276498 94550320 109914747 141825480 146552996 183191245 219829494 283650960 293105992 366382490 439658988 549573735 586211984 732764980 879317976 1099147470 1465529960 1758635952 2198294940 2702957273 2931059920 4396589880 5405914546 8108871819 8793179760 10811829092 13514786365 16217743638 21623658184 27029572730 32435487276 40544359095 43247316368 54059145460 64870974552 81088718190 83791675463 108118290920 129741949104 162177436380 167583350926 216236581840 251375026389 324354872760 335166701852 418958377315 502750052778 648709745520 670333403704 837916754630 1005500105556 1256875131945 1340666807408 1675833509260 2011000211112 2513750263890 3351667018520 4022000422224 5027500527780 6703334037040 10055001055560 20110002111120