Search a number
-
+
11110222110220 = 22531127239590377
BaseRepresentation
bin1010000110101100110011…
…0101111001111000001100
31110100010102111000000121221
42201223030311321320030
52424012213330011340
635343544321533124
72224454442516412
oct241531465717014
943303374000557
1011110222110220
1135a3900813792
1212b529aaa41a4
136278c694a00c
142a5a480552b2
1514400802744a
hexa1accd79e0c

11110222110220 has 96 divisors (see below), whose sum is σ = 24375337943040. Its totient is φ = 4249006917120.

The previous prime is 11110222110209. The next prime is 11110222110227. The reversal of 11110222110220 is 2201122201111.

11110222110220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11110222110194 and 11110222110203.

It is not an unprimeable number, because it can be changed into a prime (11110222110227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18523672 + ... + 19114048.

It is an arithmetic number, because the mean of its divisors is an integer number (253909770240).

Almost surely, 211110222110220 is an apocalyptic number.

11110222110220 is a gapful number since it is divisible by the number (10) 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 11110222110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187668971520).

11110222110220 is an abundant number, since it is smaller than the sum of its proper divisors (13265115832820).

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

11110222110220 is a wasteful number, since it uses less digits than its factorization.

11110222110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590783 (or 590781 counting only the distinct ones).

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

Adding to 11110222110220 its reverse (2201122201111), we get a palindrome (13311344311331).

The spelling of 11110222110220 in words is "eleven trillion, one hundred ten billion, two hundred twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 127 155 239 254 310 478 508 620 635 956 1195 1270 2390 2540 3937 4780 7409 7874 14818 15748 19685 29636 30353 37045 39370 60706 74090 78740 121412 148180 151765 303530 590377 607060 940943 1180754 1881886 2361508 2951885 3763772 4704715 5903770 9409430 11807540 18301687 18818860 36603374 73206748 74977879 91508435 141100103 149955758 183016870 282200206 299911516 366033740 374889395 564400412 705500515 749778790 1411001030 1499557580 2324314249 2822002060 4374103193 4648628498 8748206386 9297256996 11621571245 17496412772 17919713081 21870515965 23243142490 35839426162 43741031930 46486284980 71678852324 87482063860 89598565405 179197130810 358394261620 555511105511 1111022211022 2222044422044 2777555527555 5555111055110 11110222110220