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11220222102112 = 2559157346110937
BaseRepresentation
bin1010001101000110100101…
…0110100100101001100000
31110201122100120101120212201
42203101221112210221200
52432313003324231422
635510255431302544
72235430364154262
oct243215126445140
943648316346781
1011220222102112
1136365189587a1
12131267981aa54
136350a714330a
142ab0c1235b32
15146ce511c727
hexa34695a4a60

11220222102112 has 96 divisors (see below), whose sum is σ = 22615899697440. Its totient is φ = 5477812654080.

The previous prime is 11220222102083. The next prime is 11220222102121. The reversal of 11220222102112 is 21120122202211.

It is a self number, because there is not a number n which added to its sum of digits gives 11220222102112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025890308 + ... + 1025901244.

It is an arithmetic number, because the mean of its divisors is an integer number (235582288515).

Almost surely, 211220222102112 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 11220222102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307949848720).

11220222102112 is an abundant number, since it is smaller than the sum of its proper divisors (11395677595328).

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

11220222102112 is a wasteful number, since it uses less digits than its factorization.

11220222102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14624 (or 14616 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11220222102112 its reverse (21120122202211), we get a palindrome (32340344304323).

The spelling of 11220222102112 in words is "eleven trillion, two hundred twenty billion, two hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 118 157 236 314 472 628 944 1256 1888 2512 3461 5024 6922 9263 10937 13844 18526 21874 27688 37052 43748 55376 74104 87496 110752 148208 174992 204199 296416 349984 408398 543377 645283 816796 1086754 1290566 1633592 1717109 2173508 2581132 3267184 3434218 4347016 5162264 6534368 6868436 8694032 10324528 13736872 17388064 20649056 27473744 32059243 37852957 54947488 64118486 75705914 101309431 128236972 151411828 202618862 256473944 302823656 405237724 512947888 605647312 810475448 1025895776 1211294624 1620950896 2233324463 3241901792 4466648926 5942914249 8933297852 11885828498 17866595704 23771656996 35733191408 47543313992 71466382816 95086627984 190173255968 350631940691 701263881382 1402527762764 2805055525528 5610111051056 11220222102112