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21222021012200 = 2352279737937113
BaseRepresentation
bin1001101001101001000110…
…00001100001101011101000
32210010210202010120221102122
410310310203001201223220
510240200144334342300
6113045132321250412
74320145315156451
oct464644301415350
983123663527378
1021222021012200
116842232671568
122468b77a93a08
13bac2c6b99778
14535219236128
1526c077e50c85
hex134d23061ae8

21222021012200 has 48 divisors (see below), whose sum is σ = 49358840911980. Its totient is φ = 8485773212160.

The previous prime is 21222021012173. The next prime is 21222021012217. The reversal of 21222021012200 is 221012022212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10225886466436 + 10996134545764 = 3197794^2 + 3316042^2 .

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 11 ways as a sum of consecutive naturals, for example, 18409157 + ... + 19527956.

Almost surely, 221222021012200 is an apocalyptic number.

21222021012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222021012200 is an abundant number, since it is smaller than the sum of its proper divisors (28136819899780).

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

21222021012200 is a wasteful number, since it uses less digits than its factorization.

21222021012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37939926 (or 37939917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21222021012200 its reverse (221012022212), we get a palindrome (21443033034412).

The spelling of 21222021012200 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2797 5594 11188 13985 22376 27970 55940 69925 111880 139850 279700 559400 37937113 75874226 151748452 189685565 303496904 379371130 758742260 948427825 1517484520 1896855650 3793711300 7587422600 106110105061 212220210122 424440420244 530550525305 848880840488 1061101050610 2122202101220 2652752626525 4244404202440 5305505253050 10611010506100 21222021012200