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11220010112 = 271953611427
BaseRepresentation
bin10100111001100001…
…11100010010000000
31001221221102120101002
422130300330102000
5140434310310422
65053203431132
7545020340513
oct123460742200
931857376332
1011220010112
114838448733
1222116854a8
13109a69984c
147861c0d7a
1545a04c692
hex29cc3c480

11220010112 has 128 divisors (see below), whose sum is σ = 24382814400. Its totient is φ = 5125386240.

The previous prime is 11220010027. The next prime is 11220010163. The reversal of 11220010112 is 21101002211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11220010093 and 11220010102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7861943 + ... + 7863369.

Almost surely, 211220010112 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 11220010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191407200).

11220010112 is an abundant number, since it is smaller than the sum of its proper divisors (13162804288).

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

11220010112 is a wasteful number, since it uses less digits than its factorization.

11220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11220010112 its reverse (21101002211), we get a palindrome (32321012323).

The spelling of 11220010112 in words is "eleven billion, two hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 53 61 64 76 106 122 128 152 212 244 304 424 488 608 848 976 1007 1159 1216 1427 1696 1952 2014 2318 2432 2854 3233 3392 3904 4028 4636 5708 6466 6784 7808 8056 9272 11416 12932 16112 18544 22832 25864 27113 32224 37088 45664 51728 54226 61427 64448 74176 75631 87047 91328 103456 108452 122854 128896 148352 151262 174094 182656 206912 216904 245708 302524 348188 413824 433808 491416 605048 696376 867616 982832 1210096 1392752 1436989 1653893 1735232 1965664 2420192 2785504 2873978 3307786 3470464 3931328 4613491 4840384 5571008 5747956 6615572 7862656 9226982 9680768 11142016 11495912 13231144 18453964 22991824 26462288 36907928 45983648 52924576 73815856 87656329 91967296 105849152 147631712 175312658 183934592 211698304 295263424 350625316 590526848 701250632 1402501264 2805002528 5610005056 11220010112