Search a number
-
+
2012220022120 = 2357114713900387
BaseRepresentation
bin11101010010000001101…
…010001101110101101000
321010100220001222021220221
4131102001222031311220
5230432011311201440
64140222350255424
7265243454656510
oct35220152156550
97110801867827
102012220022120
11706417820320
12285b944b7574
131179a01736a9
146d56b7c2840
1537520c0ed4a
hex1d481a8dd68

2012220022120 has 128 divisors (see below), whose sum is σ = 5764768911360. Its totient is φ = 613841045760.

The previous prime is 2012220022117. The next prime is 2012220022157. The reversal of 2012220022120 is 212200222102.

It is a super-2 number, since 2×20122200221202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012220022094 and 2012220022103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6805434 + ... + 7094953.

It is an arithmetic number, because the mean of its divisors is an integer number (45037257120).

Almost surely, 22012220022120 is an apocalyptic number.

2012220022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012220022120 is an abundant number, since it is smaller than the sum of its proper divisors (3752548889240).

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

2012220022120 is a wasteful number, since it uses less digits than its factorization.

2012220022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13900463 (or 13900459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2012220022120 its reverse (212200222102), we get a palindrome (2224420244222).

The spelling of 2012220022120 in words is "two trillion, twelve billion, two hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 47 55 56 70 77 88 94 110 140 154 188 220 235 280 308 329 376 385 440 470 517 616 658 770 940 1034 1316 1540 1645 1880 2068 2585 2632 3080 3290 3619 4136 5170 6580 7238 10340 13160 14476 18095 20680 28952 36190 72380 144760 13900387 27800774 55601548 69501935 97302709 111203096 139003870 152904257 194605418 278007740 305808514 389210836 486513545 556015480 611617028 653318189 764521285 778421672 973027090 1070329799 1223234056 1306636378 1529042570 1946054180 2140659598 2613272756 3058085140 3266590945 3892108360 4281319196 4573227323 5226545512 5351648995 6116170280 6533181890 7186500079 8562638392 9146454646 10703297990 13066363780 14373000158 18292909292 21406595980 22866136615 26132727560 28746000316 35932500395 36585818584 42813191960 45732273230 50305500553 57492000632 71865000790 91464546460 100611001106 143730001580 182929092920 201222002212 251527502765 287460003160 402444004424 503055005530 1006110011060 2012220022120