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11000112112 = 24112312721397
BaseRepresentation
bin10100011111010100…
…00110001111110000
31001101121122121000201
422033222012033300
5140012012041422
65015310324544
7536410260463
oct121752061760
931347577021
1011000112112
114735305050
12216bab9754
131063c666a2
14764cdd2da
15445ab2727
hex28fa863f0

11000112112 has 80 divisors (see below), whose sum is σ = 24453292032. Its totient is φ = 4744776960.

The previous prime is 11000112107. The next prime is 11000112131. The reversal of 11000112112 is 21121100011.

11000112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503398 + ... + 524794.

Almost surely, 211000112112 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 11000112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226646016).

11000112112 is an abundant number, since it is smaller than the sum of its proper divisors (13453179920).

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

11000112112 is a wasteful number, since it uses less digits than its factorization.

11000112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21566 (or 21560 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11000112112 its reverse (21121100011), we get a palindrome (32121212123).

It can be divided in two parts, 1100011 and 2112, that multiplied together give a palindrome (2323223232).

The spelling of 11000112112 in words is "eleven billion, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 127 176 184 253 254 368 506 508 1012 1016 1397 2024 2032 2794 2921 4048 5588 5842 11176 11684 21397 22352 23368 32131 42794 46736 64262 85588 128524 171176 235367 257048 342352 470734 492131 514096 941468 984262 1882936 1968524 2717419 3765872 3937048 5413441 5434838 7874096 10826882 10869676 21653764 21739352 29891609 43307528 43478704 59783218 62500637 86615056 119566436 125001274 239132872 250002548 478265744 500005096 687507007 1000010192 1375014014 2750028028 5500056056 11000112112