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11222033021332 = 2272294321067777
BaseRepresentation
bin1010001101001101010101…
…0010101011100110010100
31110201211000202221211000221
42203103111102223212110
52432330210423140312
635511155241444124
72235523303550200
oct243232522534624
943654022854027
1011222033021332
1136372680a0151
121312aa41a0644
13635305387453
142ab213951b00
15146d9e0d1207
hexa34d54ab994

11222033021332 has 108 divisors (see below), whose sum is σ = 24195005935380. Its totient is φ = 4535604928512.

The previous prime is 11222033021327. The next prime is 11222033021351. The reversal of 11222033021332 is 23312033022211.

It can be written as a sum of positive squares in 2 ways, for example, as 3811420625796 + 7410612395536 = 1952286^2 + 2722244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11222033021297 and 11222033021306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9975828 + ... + 11043604.

It is an arithmetic number, because the mean of its divisors is an integer number (224027832735).

Almost surely, 211222033021332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222033021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097502967690).

11222033021332 is an abundant number, since it is smaller than the sum of its proper divisors (12972972914048).

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

11222033021332 is a wasteful number, since it uses less digits than its factorization.

11222033021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067910 (or 1067858 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 11222033021332 its reverse (23312033022211), we get a palindrome (34534066043543).

The spelling of 11222033021332 in words is "eleven trillion, two hundred twenty-two billion, thirty-three million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 43 49 58 86 98 116 172 196 203 301 406 602 812 1204 1247 1421 1849 2107 2494 2842 3698 4214 4988 5684 7396 8428 8729 12943 17458 25886 34916 51772 53621 61103 90601 107242 122206 181202 214484 244412 362404 375347 750694 1067777 1501388 2135554 2627429 4271108 5254858 7474439 10509716 14948878 29897756 30965533 45914411 52321073 61931066 91828822 104642146 123862132 183657644 209284292 216758731 321400877 433517462 642801754 867034924 1285603508 1331517919 1517311117 1974319673 2249806139 2663035838 3034622234 3948639346 4499612278 5326071676 6069244468 7897278692 8999224556 9320625433 13820237711 18641250866 27640475422 37282501732 55280950844 57255270517 65244378031 96741663977 114510541034 130488756062 193483327954 229021082068 260977512124 386966655908 400786893619 801573787238 1603147574476 2805508255333 5611016510666 11222033021332