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21221121000112 = 24111011618773751
BaseRepresentation
bin1001101001100111011010…
…11000010000001010110000
32210010201102102001120221121
410310303231120100022300
510240141323434000422
6113044503131032024
74320114106200505
oct464635530201260
983121372046847
1021221121000112
116841910631120
12246896659b614
13bac1b259a737
145351718b54ac
1526c023e208c7
hex134ced6102b0

21221121000112 has 80 divisors (see below), whose sum is σ = 45301242034944. Its totient is φ = 9549740000000.

The previous prime is 21221121000091. The next prime is 21221121000139. The reversal of 21221121000112 is 21100012112212.

It is a super-2 number, since 2×212211210001122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 287703237 + ... + 287776987.

Almost surely, 221221121000112 is an apocalyptic number.

21221121000112 is a gapful number since it is divisible by the number (22) 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 21221121000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22650621017472).

21221121000112 is an abundant number, since it is smaller than the sum of its proper divisors (24080121034832).

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

21221121000112 is a wasteful number, since it uses less digits than its factorization.

21221121000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90058 (or 90052 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21221121000112 its reverse (21100012112212), we get a palindrome (42321133112324).

The spelling of 21221121000112 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 2222 4444 8888 16187 17776 32374 64748 73751 129496 147502 178057 258992 295004 356114 590008 712228 811261 1180016 1424456 1622522 1634887 2848912 3245044 3269774 6490088 6539548 7448851 12980176 13079096 14897702 17983757 26158192 29795404 35967514 59590808 71935028 81937361 119181616 143870056 163874722 287740112 327749444 655498888 1193807437 1310997776 2387614874 4775229748 9550459496 13131881807 19100918992 26263763614 52527527228 105055054456 120574551137 210110108912 241149102274 482298204548 964596409096 1326320062507 1929192818192 2652640125014 5305280250028 10610560500056 21221121000112