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11221101112 = 2313254715173
BaseRepresentation
bin10100111001101010…
…00110101000111000
31001222000110222221111
422130311012220320
5140440100213422
65053243050104
7545032533334
oct123465065070
931860428844
1011221101112
114839023391
122211b10934
13109a98c300
147863c67c4
1545a1b5a77
hex29cd46a38

11221101112 has 48 divisors (see below), whose sum is σ = 22825641240. Its totient is φ = 5169161088.

The previous prime is 11221101071. The next prime is 11221101119. The reversal of 11221101112 is 21110112211.

It is a happy number.

It is a super-2 number, since 2×112211011122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11221101092 and 11221101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221101119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731958 + ... + 747130.

Almost surely, 211221101112 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 11221101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412820620).

11221101112 is an abundant number, since it is smaller than the sum of its proper divisors (11604540128).

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

11221101112 is a wasteful number, since it uses less digits than its factorization.

11221101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15752 (or 15735 counting only the distinct ones).

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

Adding to 11221101112 its reverse (21110112211), we get a palindrome (32331213323).

The spelling of 11221101112 in words is "eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 547 676 1094 1352 2188 4376 7111 14222 15173 28444 30346 56888 60692 92443 121384 184886 197249 369772 394498 739544 788996 1577992 2564237 5128474 8299631 10256948 16599262 20513896 33198524 66397048 107895203 215790406 431580812 863161624 1402637639 2805275278 5610550556 11221101112