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11123112330 = 23251123894703
BaseRepresentation
bin10100101101111110…
…10011100110001010
31001201012002122121100
422112333103212022
5140240004043310
65035422522230
7542432615631
oct122677234612
931635078540
1011123112330
114798785a20
1221a5136376
1310835a1095
1477739a518
154517abec0
hex296fd398a

11123112330 has 96 divisors (see below), whose sum is σ = 31569108480. Its totient is φ = 2694810240.

The previous prime is 11123112281. The next prime is 11123112361. The reversal of 11123112330 is 3321132111.

11123112330 is a `hidden beast` number, since 11 + 12 + 311 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2362759 + ... + 2367461.

It is an arithmetic number, because the mean of its divisors is an integer number (328844880).

Almost surely, 211123112330 is an apocalyptic number.

11123112330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15784554240).

11123112330 is an abundant number, since it is smaller than the sum of its proper divisors (20445996150).

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

11123112330 is a wasteful number, since it uses less digits than its factorization.

11123112330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11123112330 its reverse (3321132111), we get a palindrome (14444244441).

The spelling of 11123112330 in words is "eleven billion, one hundred twenty-three million, one hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2389 4703 4778 7167 9406 11945 14109 14334 21501 23515 23890 26279 28218 35835 42327 43002 47030 51733 52558 70545 71670 78837 84654 103466 107505 131395 141090 155199 157674 211635 215010 236511 258665 262790 310398 394185 423270 465597 473022 517330 775995 788370 931194 1182555 1551990 2327985 2365110 4655970 11235467 22470934 33706401 56177335 67412802 101119203 112354670 123590137 168532005 202238406 247180274 337064010 370770411 505596015 617950685 741540822 1011192030 1112311233 1235901370 1853852055 2224622466 3707704110 5561556165 11123112330