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21212220221000 = 2353433831288009
BaseRepresentation
bin1001101001010110110101…
…10110011110011001001000
32210002212110002200011101222
410310223122312132121020
510240020111334033000
6113040432012301212
74316350406625254
oct464533266363110
983085402604358
1021212220221000
11683906334a026
1224670a1771808
13bab3c454a433
1453496972b264
1526bba27e2a85
hex134adad9e648

21212220221000 has 128 divisors (see below), whose sum is σ = 50923587686400. Its totient is φ = 8265920140800.

The previous prime is 21212220220973. The next prime is 21212220221053. The reversal of 21212220221000 is 12202221212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21212220221000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15824996 + ... + 17113004.

It is an arithmetic number, because the mean of its divisors is an integer number (397840528800).

Almost surely, 221212220221000 is an apocalyptic number.

21212220221000 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 21212220221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25461793843200).

21212220221000 is an abundant number, since it is smaller than the sum of its proper divisors (29711367465400).

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

21212220221000 is a wasteful number, since it uses less digits than its factorization.

21212220221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288456 (or 1288442 counting only the distinct ones).

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

Adding to 21212220221000 its reverse (12202221212), we get a palindrome (21224422442212).

The spelling of 21212220221000 in words is "twenty-one trillion, two hundred twelve billion, two hundred twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 383 430 500 766 860 1000 1075 1532 1720 1915 2150 3064 3830 4300 5375 7660 8600 9575 10750 15320 16469 19150 21500 32938 38300 43000 47875 65876 76600 82345 95750 131752 164690 191500 329380 383000 411725 658760 823450 1288009 1646900 2058625 2576018 3293800 4117250 5152036 6440045 8234500 10304072 12880090 16469000 25760180 32200225 51520360 55384387 64400450 110768774 128800900 161001125 221537548 257601800 276921935 322002250 443075096 493307447 553843870 644004500 986614894 1107687740 1288009000 1384609675 1973229788 2215375480 2466537235 2769219350 3946459576 4933074470 5538438700 6923048375 9866148940 11076877400 12332686175 13846096750 19732297880 21212220221 24665372350 27692193500 42424440442 49330744700 55384387000 61663430875 84848880884 98661489400 106061101105 123326861750 169697761768 212122202210 246653723500 424244404420 493307447000 530305505525 848488808840 1060611011050 2121222022100 2651527527625 4242444044200 5303055055250 10606110110500 21212220221000