Search a number
-
+
22102210200020 = 22573137199755333
BaseRepresentation
bin1010000011010000100100…
…11000110100000111010100
32220020221200000211111022112
411001220102120310013110
510344110311302400040
6115001340514250152
74440555241626206
oct501502230640724
986227600744275
1022102210200020
1170515494aaa05
12258b681586958
13c442ca21aab2
14565a77502776
15284de1132365
hex141a126341d4

22102210200020 has 96 divisors (see below), whose sum is σ = 47418481924128. Its totient is φ = 8651637153792.

The previous prime is 22102210199963. The next prime is 22102210200041. The reversal of 22102210200020 is 2000201220122.

It can be written as a sum of positive squares in 16 ways, for example, as 13062398269636 + 9039811930384 = 3614194^2 + 3006628^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22102210199968 and 22102210200004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399412274 + ... + 399467606.

It is an arithmetic number, because the mean of its divisors is an integer number (493942520043).

Almost surely, 222102210200020 is an apocalyptic number.

22102210200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102210200020 is an abundant number, since it is smaller than the sum of its proper divisors (25316271724108).

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

22102210200020 is a wasteful number, since it uses less digits than its factorization.

22102210200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57549 (or 57547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22102210200020 its reverse (2000201220122), we get a palindrome (24102411420142).

The spelling of 22102210200020 in words is "twenty-two trillion, one hundred two billion, two hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1370 1460 1997 2740 3994 7988 9985 10001 19970 20002 39940 40004 50005 55333 100010 110666 145781 200020 221332 273589 276665 291562 547178 553330 583124 728905 1094356 1106660 1367945 1457810 2735890 2915620 4039309 5471780 7580621 8078618 15161242 16157236 19971997 20196545 30322484 37903105 39943994 40393090 75806210 79887988 80786180 99859985 110500001 151612420 199719970 221000002 399439940 442000004 552500005 553385333 1105000010 1106770666 2210000020 2213541332 2766926665 5533853330 8066500073 11067706660 15138500137 16133000146 30277000274 32266000292 40332500365 60554000548 75692500685 80665000730 151385001370 161330001460 302770002740 1105110510001 2210221020002 4420442040004 5525552550005 11051105100010 22102210200020