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11212110112 = 257834791259
BaseRepresentation
bin10100111000100101…
…10011100100100000
31001221101120012121111
422130102303210200
5140430300010422
65052322233104
7544563235450
oct123422634440
931841505544
1011212110112
114833a42305
12220aab5794
131098b61aa8
14785125d60
154594dba77
hex29c4b3920

11212110112 has 96 divisors (see below), whose sum is σ = 25604812800. Its totient is φ = 4733622528.

The previous prime is 11212110103. The next prime is 11212110139. The reversal of 11212110112 is 21101121211.

It is a happy number.

It is a super-2 number, since 2×112121101122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11212110092 and 11212110101.

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, 8904939 + ... + 8906197.

It is an arithmetic number, because the mean of its divisors is an integer number (266716800).

Almost surely, 211212110112 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 11212110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802406400).

11212110112 is an abundant number, since it is smaller than the sum of its proper divisors (14392702688).

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

11212110112 is a wasteful number, since it uses less digits than its factorization.

11212110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11212110112 its reverse (21101121211), we get a palindrome (32313231323).

The spelling of 11212110112 in words is "eleven billion, two hundred twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 479 581 664 958 1162 1259 1328 1916 2324 2518 2656 3353 3832 4648 5036 6706 7664 8813 9296 10072 13412 15328 17626 18592 20144 26824 35252 39757 40288 53648 70504 79514 104497 107296 141008 159028 208994 278299 282016 318056 417988 556598 603061 636112 731479 835976 1113196 1206122 1272224 1462958 1671952 2226392 2412244 2925916 3343904 4221427 4452784 4824488 5851832 8442854 8905568 9648976 11703664 16885708 19297952 23407328 33771416 50054063 67542832 100108126 135085664 200216252 350378441 400432504 700756882 800865008 1401513764 1601730016 2803027528 5606055056 11212110112