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20102220120120 = 2335238263881449
BaseRepresentation
bin1001001001000011010011…
…01100001000000000111000
32122011202100021122122011120
410210201221230020000320
510113323321322320440
6110430455450025240
74143223516505535
oct444415154100070
978152307578146
1020102220120120
116450338215256
122307b40a18220
13b2a828a4ab08
144d6d4a0b5d8c
1524cd88e63dd0
hex124869b08038

20102220120120 has 128 divisors (see below), whose sum is σ = 62936376192000. Its totient is φ = 5126896456704.

The previous prime is 20102220120011. The next prime is 20102220120139. The reversal of 20102220120120 is 2102102220102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20102220120120.

It is a congruent number.

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, 22365156 + ... + 23246604.

It is an arithmetic number, because the mean of its divisors is an integer number (491690439000).

Almost surely, 220102220120120 is an apocalyptic number.

20102220120120 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 20102220120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31468188096000).

20102220120120 is an abundant number, since it is smaller than the sum of its proper divisors (42834156071880).

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

20102220120120 is a wasteful number, since it uses less digits than its factorization.

20102220120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889749 (or 889745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20102220120120 its reverse (2102102220102), we get a palindrome (22204322340222).

The spelling of 20102220120120 in words is "twenty trillion, one hundred two billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 8263 16526 24789 33052 41315 49578 66104 82630 99156 123945 165260 190049 198312 247890 330520 380098 495780 570147 760196 881449 950245 991560 1140294 1520392 1762898 1900490 2280588 2644347 2850735 3525796 3800980 4407245 4561176 5288694 5701470 7051592 7601960 8814490 10577388 11402940 13221735 17628980 20273327 21154776 22805880 26443470 35257960 40546654 52886940 60819981 81093308 101366635 105773880 121639962 162186616 202733270 243279924 304099905 405466540 486559848 608199810 810933080 1216399620 2432799240 7283413087 14566826174 21850239261 29133652348 36417065435 43700478522 58267304696 72834130870 87400957044 109251196305 145668261740 167518501001 174801914088 218502392610 291336523480 335037002002 437004785220 502555503003 670074004004 837592505005 874009570440 1005111006006 1340148008008 1675185010010 2010222012012 2512777515015 3350370020020 4020444024024 5025555030030 6700740040040 10051110060060 20102220120120