Search a number
-
+
11212021020012 = 22317433613353767
BaseRepresentation
bin1010001100101000000010…
…0001111011010101101100
31110200212012000121110012020
42203022000201323111230
52432144204340120022
635502421545510140
72235020222132031
oct243120041732554
943625160543166
1011212021020012
113632a9a62939a
121310b6b1a2350
1363439b057507
142aa943d87388
151469b515235c
hexa328087b56c

11212021020012 has 96 divisors (see below), whose sum is σ = 28352405233152. Its totient is φ = 3434733904896.

The previous prime is 11212021019933. The next prime is 11212021020037. The reversal of 11212021020012 is 21002012021211.

It is a junction number, because it is equal to n+sod(n) for n = 11212021019973 and 11212021020000.

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 31 ways as a sum of consecutive naturals, for example, 31516353 + ... + 31870119.

It is an arithmetic number, because the mean of its divisors is an integer number (295337554512).

Almost surely, 211212021020012 is an apocalyptic number.

11212021020012 is a gapful number since it is divisible by the number (12) 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 11212021020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176202616576).

11212021020012 is an abundant number, since it is smaller than the sum of its proper divisors (17140384213140).

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

11212021020012 is a wasteful number, since it uses less digits than its factorization.

11212021020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357447 (or 357445 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11212021020012 its reverse (21002012021211), we get a palindrome (32214033041223).

The spelling of 11212021020012 in words is "eleven trillion, two hundred twelve billion, twenty-one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2924 3613 4386 7226 8772 10839 14452 21678 43356 61421 122842 155359 184263 245684 310718 353767 368526 466077 621436 707534 737052 932154 1061301 1415068 1864308 2122602 2641103 4245204 5282206 6014039 7923309 10564412 12028078 15211981 15846618 18042117 24056156 30423962 31693236 36084234 45635943 60847924 72168468 91271886 182543772 258603677 517207354 775811031 1034414708 1278160171 1551622062 2556320342 3103244124 3834480513 5112640684 7668961026 15337922052 21728722907 43457445814 54960887353 65186168721 86914891628 109921774706 130372337442 164882662059 219843549412 260744674884 329765324118 659530648236 934335085001 1868670170002 2803005255003 3737340340004 5606010510006 11212021020012