Search a number
-
+
11121016656 = 243311744977
BaseRepresentation
bin10100101101101110…
…10011111101010000
31001201001011011212210
422112313103331100
5140233440013111
65035305552120
7542406040041
oct122667237520
931631134783
1011121016656
114797584462
1221a44a5640
131083019239
14776db28c8
154514e60a6
hex296dd3f50

11121016656 has 40 divisors (see below), whose sum is σ = 28821708864. Its totient is φ = 3695080960.

The previous prime is 11121016607. The next prime is 11121016681. The reversal of 11121016656 is 65661012111.

It is a super-3 number, since 3×111210166563 (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357561 + ... + 387416.

Almost surely, 211121016656 is an apocalyptic number.

11121016656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11121016656 is an abundant number, since it is smaller than the sum of its proper divisors (17700692208).

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

11121016656 is a wasteful number, since it uses less digits than its factorization.

11121016656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745299 (or 745293 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

Adding to 11121016656 its reverse (65661012111), we get a palindrome (76782028767).

The spelling of 11121016656 in words is "eleven billion, one hundred twenty-one million, sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 311 622 933 1244 1866 2488 3732 4976 7464 14928 744977 1489954 2234931 2979908 4469862 5959816 8939724 11919632 17879448 35758896 231687847 463375694 695063541 926751388 1390127082 1853502776 2780254164 3707005552 5560508328 11121016656