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11334400112 = 247254126723
BaseRepresentation
bin10101000111001010…
…10011100001110000
31002020220200011221202
422203211103201300
5141203101300422
65112411310332
7550606545200
oct124345234160
932226604852
1011334400112
114896a78622
122243a4b3a8
1310b82ab139
1479747a400
154650e5b92
hex2a3953870

11334400112 has 60 divisors (see below), whose sum is σ = 25593948936. Its totient is φ = 4848439680.

The previous prime is 11334400073. The next prime is 11334400153. The reversal of 11334400112 is 21100443311.

It is a super-3 number, since 3×113344001123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410783 + ... + 437505.

Almost surely, 211334400112 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 11334400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796974468).

11334400112 is an abundant number, since it is smaller than the sum of its proper divisors (14259548824).

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

11334400112 is a wasteful number, since it uses less digits than its factorization.

11334400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27286 (or 27273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11334400112 its reverse (21100443311), we get a palindrome (32434843423).

The spelling of 11334400112 in words is "eleven billion, three hundred thirty-four million, four hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 541 784 1082 2164 3787 4328 7574 8656 15148 26509 26723 30296 53018 53446 60592 106036 106892 187061 212072 213784 374122 424144 427568 748244 1309427 1496488 2618854 2992976 5237708 10475416 14457143 20950832 28914286 57828572 101200001 115657144 202400002 231314288 404800004 708400007 809600008 1416800014 1619200016 2833600028 5667200056 11334400112