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1022112212220 = 2233511172072763
BaseRepresentation
bin11101101111110101010…
…00101010010011111100
310121201020202110012012000
432313322220222103330
5113221241211242340
62101315111542300
7133562615312031
oct16677250522374
93551222405160
101022112212220
11364525774250
1214611338a990
1375500448a98
1437683077388
151b8c2b5cd30
hexedfaa2a4fc

1022112212220 has 96 divisors (see below), whose sum is σ = 3468986922240. Its totient is φ = 247784777280.

The previous prime is 1022112212203. The next prime is 1022112212263. The reversal of 1022112212220 is 222122112201.

It is a happy number.

1022112212220 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 221 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022112212193 and 1022112212202.

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, 86030442 + ... + 86042321.

It is an arithmetic number, because the mean of its divisors is an integer number (36135280440).

Almost surely, 21022112212220 is an apocalyptic number.

1022112212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022112212220 is an abundant number, since it is smaller than the sum of its proper divisors (2446874710020).

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

1022112212220 is a wasteful number, since it uses less digits than its factorization.

1022112212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172072792 (or 172072784 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022112212220 its reverse (222122112201), we get a palindrome (1244234324421).

The spelling of 1022112212220 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 172072763 344145526 516218289 688291052 860363815 1032436578 1548654867 1720727630 1892800393 2064873156 2581091445 3097309734 3441455260 3785600786 4645964601 5162182890 5678401179 6194619468 7571201572 7743274335 9291929202 9464001965 10324365780 11356802358 15486548670 17035203537 18583858404 18928003930 22713604716 23229823005 28392005895 30973097340 34070407074 37856007860 46459646010 51105610611 56784011790 68140814148 85176017685 92919292020 102211221222 113568023580 170352035370 204422442444 255528053055 340704070740 511056106110 1022112212220