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11121004544 = 21213732861
BaseRepresentation
bin10100101101101110…
…10001000000000000
31001201001010120021012
422112313101000000
5140233434121134
65035305420052
7542405656526
oct122667210000
931631116235
1011121004544
114797576351
1221a449a628
131083013880
14776dac316
154514e26ce
hex296dd1000

11121004544 has 104 divisors (see below), whose sum is σ = 24286577112. Its totient is φ = 5060689920.

The previous prime is 11121004481. The next prime is 11121004547. The reversal of 11121004544 is 44540012111.

It can be written as a sum of positive squares in 4 ways, for example, as 739840000 + 10381164544 = 27200^2 + 101888^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is not an unprimeable number, because it can be changed into a prime (11121004547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3885674 + ... + 3888534.

Almost surely, 211121004544 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 11121004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12143288556).

11121004544 is an abundant number, since it is smaller than the sum of its proper divisors (13165572568).

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

11121004544 is an equidigital number, since it uses as much as digits as its factorization.

11121004544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 11121004544 its reverse (44540012111), we get a palindrome (55661016655).

The spelling of 11121004544 in words is "eleven billion, one hundred twenty-one million, four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 208 256 292 416 512 584 832 949 1024 1168 1664 1898 2048 2336 2861 3328 3796 4096 4672 5722 6656 7592 9344 11444 13312 15184 18688 22888 26624 30368 37193 37376 45776 53248 60736 74386 74752 91552 121472 148772 149504 183104 208853 242944 297544 299008 366208 417706 485888 595088 732416 835412 971776 1190176 1464832 1670824 1943552 2380352 2715089 2929664 3341648 3887104 4760704 5430178 5859328 6683296 9521408 10860356 11718656 13366592 19042816 21720712 26733184 38085632 43441424 53466368 76171264 86882848 106932736 152342528 173765696 213865472 347531392 427730944 695062784 855461888 1390125568 2780251136 5560502272 11121004544