Search a number
-
+
22102020120200 = 23521761710535809
BaseRepresentation
bin1010000011010000001110…
…00011101101111010001000
32220020221011210011102211012
411001220013003231322020
510344104414122321300
6115001310004223052
74440550443156506
oct501500703557210
986227153142735
1022102020120200
117051461183149
12258b62999aa88
13c44299a27c27
14565a5a183676
15284dce5d7435
hex141a070ede88

22102020120200 has 96 divisors (see below), whose sum is σ = 54498162954600. Its totient is φ = 8307273891840.

The previous prime is 22102020120181. The next prime is 22102020120223. The reversal of 22102020120200 is 202102020122.

It can be written as a sum of positive squares in 12 ways, for example, as 108977893924 + 21993042226276 = 330118^2 + 4689674^2 .

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 23 ways as a sum of consecutive naturals, for example, 3170105 + ... + 7365704.

Almost surely, 222102020120200 is an apocalyptic number.

22102020120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102020120200 is an abundant number, since it is smaller than the sum of its proper divisors (32396142834400).

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

22102020120200 is a wasteful number, since it uses less digits than its factorization.

22102020120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536459 (or 10536450 counting only the distinct ones).

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

Adding to 22102020120200 its reverse (202102020122), we get a palindrome (22304122140322).

The spelling of 22102020120200 in words is "twenty-two trillion, one hundred two billion, twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 617 680 850 1234 1700 2468 3085 3400 4936 6170 10489 12340 15425 20978 24680 30850 41956 52445 61700 83912 104890 123400 209780 262225 419560 524450 1048900 2097800 10535809 21071618 42143236 52679045 84286472 105358090 179108753 210716180 263395225 358217506 421432360 526790450 716435012 895543765 1053580900 1432870024 1791087530 2107161800 3582175060 4477718825 6500594153 7164350120 8955437650 13001188306 17910875300 26002376612 32502970765 35821750600 52004753224 65005941530 110510100601 130011883060 162514853825 221020201202 260023766120 325029707650 442040402404 552550503005 650059415300 884080804808 1105101006010 1300118830600 2210202012020 2762752515025 4420404024040 5525505030050 11051010060100 22102020120200