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220120130120 = 235112334762683
BaseRepresentation
bin1100110100000000101…
…1101010001001001000
3210001011112212012021212
43031000023222021020
512101301223130440
6245042150152252
721621532143332
oct3150013521110
9701145765255
10220120130120
1185397090810
12367b1952688
13179ac868007
14a922318452
155ad4a1e465
hex33402ea248

220120130120 has 128 divisors (see below), whose sum is σ = 565419709440. Its totient is φ = 76341661440.

The previous prime is 220120130107. The next prime is 220120130149. The reversal of 220120130120 is 21031021022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220120130095 and 220120130104.

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, 3480299 + ... + 3542981.

It is an arithmetic number, because the mean of its divisors is an integer number (4417341480).

Almost surely, 2220120130120 is an apocalyptic number.

220120130120 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 220120130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282709854720).

220120130120 is an abundant number, since it is smaller than the sum of its proper divisors (345299579320).

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

220120130120 is a wasteful number, since it uses less digits than its factorization.

220120130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63075 (or 63071 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 220120130120 its reverse (21031021022), we get a palindrome (241151151142).

The spelling of 220120130120 in words is "two hundred twenty billion, one hundred twenty million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 347 440 460 506 694 920 1012 1265 1388 1735 2024 2530 2776 3470 3817 5060 6940 7634 7981 10120 13880 15268 15962 19085 30536 31924 38170 39905 62683 63848 76340 79810 87791 125366 152680 159620 175582 250732 313415 319240 351164 438955 501464 626830 689513 702328 877910 1253660 1379026 1441709 1755820 2507320 2758052 2883418 3447565 3511640 5516104 5766836 6895130 7208545 11533672 13790260 14417090 15858799 21751001 27580520 28834180 31717598 43502002 57668360 63435196 79293995 87004004 108755005 126870392 158587990 174008008 217510010 239261011 317175980 435020020 478522022 500273023 634351960 870040040 957044044 1000546046 1196305055 1914088088 2001092092 2392610110 2501365115 4002184184 4785220220 5002730230 5503003253 9570440440 10005460460 11006006506 20010920920 22012013012 27515016265 44024026024 55030032530 110060065060 220120130120