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21022022120100 = 22352266338236883
BaseRepresentation
bin1001100011110100100100…
…01010010011001010100100
32202102200111212101112200120
410301322102022103022210
510223411100130320400
6112413214511041540
74266535206505461
oct461722212231244
982380455345616
1021022022120100
116775431497791
1224362608102b0
13b964a2b77971
14529685362668
15266c6eb49ca0
hex131e922932a4

21022022120100 has 144 divisors (see below), whose sum is σ = 60871315986432. Its totient is φ = 5601487731840.

The previous prime is 21022022120081. The next prime is 21022022120137. The reversal of 21022022120100 is 102122022012.

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 21022022120100.

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, 3054191259 + ... + 3054198141.

It is an arithmetic number, because the mean of its divisors is an integer number (422717472128).

Almost surely, 221022022120100 is an apocalyptic number.

21022022120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022022120100 is an abundant number, since it is smaller than the sum of its proper divisors (39849293866332).

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

21022022120100 is a wasteful number, since it uses less digits than its factorization.

21022022120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13386 (or 13379 counting only the distinct ones).

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

Adding to 21022022120100 its reverse (102122022012), we get a palindrome (21124144142112).

The spelling of 21022022120100 in words is "twenty-one trillion, twenty-two billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2663 3823 5326 6883 7646 7989 10652 11469 13315 13766 15292 15978 19115 20649 22938 26630 27532 31956 34415 38230 39945 41298 45876 53260 57345 66575 68830 76460 79890 82596 95575 103245 114690 133150 137660 159780 172075 191150 199725 206490 229380 266300 286725 344150 382300 399450 412980 516225 573450 688300 798900 1032450 1146900 2064900 10180649 18329429 20361298 26313709 30541947 36658858 40722596 50903245 52627418 54988287 61083894 73317716 78941127 91647145 101806490 105254836 109976574 122167788 131568545 152709735 157882254 183294290 203612980 219953148 254516225 263137090 274941435 305419470 315764508 366588580 394705635 458235725 509032450 526274180 549882870 610838940 657842725 763548675 789411270 916471450 1018064900 1099765740 1315685450 1374707175 1527097350 1578822540 1832942900 1973528175 2631370900 2749414350 3054194700 3947056350 5498828700 7894112700 70073407067 140146814134 210220221201 280293628268 350367035335 420440442402 700734070670 840880884804 1051101106005 1401468141340 1751835176675 2102202212010 3503670353350 4204404424020 5255505530025 7007340706700 10511011060050 21022022120100