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11201211112 = 23713107143797
BaseRepresentation
bin10100110111010010…
…01110101011101000
31001220122001110222211
422123221032223220
5140420002223422
65051252454504
7544401503110
oct123351165350
931818043884
1011201211112
114828878773
12220731a434
131096816c90
147838ca040
15458587577
hex29ba4eae8

11201211112 has 64 divisors (see below), whose sum is σ = 26090709120. Its totient is φ = 4389804288.

The previous prime is 11201211017. The next prime is 11201211211. The reversal of 11201211112 is 21111210211.

It is a happy number.

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 = 11201211092 and 11201211101.

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, 5998 + ... + 149794.

It is an arithmetic number, because the mean of its divisors is an integer number (407667330).

Almost surely, 211201211112 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 11201211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045354560).

11201211112 is an abundant number, since it is smaller than the sum of its proper divisors (14889498008).

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

11201211112 is a wasteful number, since it uses less digits than its factorization.

11201211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143930 (or 143926 counting only the distinct ones).

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

Adding to 11201211112 its reverse (21111210211), we get a palindrome (32312421323).

Subtracting 11201211112 from its reverse (21111210211), we obtain a palindrome (9909999099).

The spelling of 11201211112 in words is "eleven billion, two hundred one million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 107 182 214 364 428 728 749 856 1391 1498 2782 2996 5564 5992 9737 11128 19474 38948 77896 143797 287594 575188 1006579 1150376 1869361 2013158 3738722 4026316 7477444 8052632 13085527 14954888 15386279 26171054 30772558 52342108 61545116 104684216 107703953 123090232 200021627 215407906 400043254 430815812 800086508 861631624 1400151389 1600173016 2800302778 5600605556 11201211112