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11120300112 = 2434131118169
BaseRepresentation
bin10100101101101001…
…00101000001010000
31001200222210202222010
422112310211001100
5140233244100422
65035242342520
7542366664015
oct122664450120
931628722863
1011120300112
114797135079
1221a41baa40
131082b2804c
14776c6770c
15451403b0c
hex296d25050

11120300112 has 80 divisors (see below), whose sum is σ = 29524360320. Its totient is φ = 3604531200.

The previous prime is 11120300089. The next prime is 11120300123. The reversal of 11120300112 is 21100302111.

It is a super-2 number, since 2×111203001122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 602964 + ... + 621132.

It is an arithmetic number, because the mean of its divisors is an integer number (369054504).

Almost surely, 211120300112 is an apocalyptic number.

11120300112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14762180160).

11120300112 is an abundant number, since it is smaller than the sum of its proper divisors (18404060208).

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

11120300112 is a wasteful number, since it uses less digits than its factorization.

11120300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18532 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11120300112 its reverse (21100302111), we get a palindrome (32220602223).

The spelling of 11120300112 in words is "eleven billion, one hundred twenty million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 311 328 492 622 656 933 984 1244 1866 1968 2488 3732 4976 7464 12751 14928 18169 25502 36338 38253 51004 54507 72676 76506 102008 109014 145352 153012 204016 218028 290704 306024 436056 612048 744929 872112 1489858 2234787 2979716 4469574 5650559 5959432 8939148 11301118 11918864 16951677 17878296 22602236 33903354 35756592 45204472 67806708 90408944 135613416 231672919 271226832 463345838 695018757 926691676 1390037514 1853383352 2780075028 3706766704 5560150056 11120300112