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22012101333300 = 22352139675836741
BaseRepresentation
bin1010000000101000101110…
…11110110001000100110100
32212221100002012002210010110
411000110113132301010310
510341121240420131200
6114452115244423020
74431215251121031
oct500242736610464
985840065083113
1022012101333300
117017309391721
122576114247a70
13c3896999c250
14561569d86388
152828ba44db50
hex1405177b1134

22012101333300 has 144 divisors (see below), whose sum is σ = 68658389942912. Its totient is φ = 5412759206400.

The previous prime is 22012101333283. The next prime is 22012101333329. The reversal of 22012101333300 is 333310121022.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 852930 + ... + 6689670.

Almost surely, 222012101333300 is an apocalyptic number.

22012101333300 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 22012101333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34329194971456).

22012101333300 is an abundant number, since it is smaller than the sum of its proper divisors (46646288609612).

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

22012101333300 is a wasteful number, since it uses less digits than its factorization.

22012101333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837738 (or 5837731 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22012101333300 its reverse (333310121022), we get a palindrome (22345411454322).

The spelling of 22012101333300 in words is "twenty-two trillion, twelve billion, one hundred one million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 967 975 1300 1934 1950 2901 3868 3900 4835 5802 9670 11604 12571 14505 19340 24175 25142 29010 37713 48350 50284 58020 62855 72525 75426 96700 125710 145050 150852 188565 251420 290100 314275 377130 628550 754260 942825 1257100 1885650 3771300 5836741 11673482 17510223 23346964 29183705 35020446 58367410 70040892 75877633 87551115 116734820 145918525 151755266 175102230 227632899 291837050 303510532 350204460 379388165 437755575 455265798 583674100 758776330 875511150 910531596 1138164495 1517552660 1751022300 1896940825 2276328990 3793881650 4552657980 5644128547 5690822475 7587763300 11288257094 11381644950 16932385641 22576514188 22763289900 28220642735 33864771282 56441285470 67729542564 73373671111 84661928205 112882570940 141103213675 146747342222 169323856410 220121013333 282206427350 293494684444 338647712820 366868355555 423309641025 440242026666 564412854700 733736711110 846619282050 880484053332 1100605066665 1467473422220 1693238564100 1834341777775 2201210133330 3668683555550 4402420266660 5503025333325 7337367111100 11006050666650 22012101333300