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11001100112 = 2417713311721
BaseRepresentation
bin10100011111011011…
…10111011101010000
31001101200111210022022
422033231313131100
5140012240200422
65015343431012
7536421544112
oct121755673520
931350453268
1011001100112
11473591a382
1221702b5468
1310642212c2
147650b93b2
15445c0a342
hex28fb77750

11001100112 has 80 divisors (see below), whose sum is σ = 22968779904. Its totient is φ = 5085696000.

The previous prime is 11001100093. The next prime is 11001100139. The reversal of 11001100112 is 21100110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11001100112.

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, 6391412 + ... + 6393132.

Almost surely, 211001100112 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 11001100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11484389952).

11001100112 is an abundant number, since it is smaller than the sum of its proper divisors (11967679792).

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

11001100112 is a wasteful number, since it uses less digits than its factorization.

11001100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11001100112 its reverse (21100110011), we get a palindrome (32101210123).

It can be divided in two parts, 1100110011 and 2, that multiplied together give a palindrome (2200220022).

The spelling of 11001100112 in words is "eleven billion, one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 331 568 662 1136 1207 1324 1721 2414 2648 3442 4828 5296 5627 6884 9656 11254 13768 19312 22508 23501 27536 29257 45016 47002 58514 90032 94004 117028 122191 188008 234056 244382 376016 399517 468112 488764 569651 799034 977528 1139302 1598068 1955056 2077247 2278604 3196136 4154494 4557208 6392272 8308988 9114416 9684067 16617976 19368134 33235952 38736268 40445221 77472536 80890442 154945072 161780884 323561768 647123536 687568757 1375137514 2750275028 5500550056 11001100112