Search a number
-
+
11123220032 = 264712013079
BaseRepresentation
bin10100101101111111…
…01101111001000000
31001201012022010100022
422112333231321000
5140240021020112
65035425113012
7542433544631
oct122677557100
931635263308
1011123220032
114798849931
1221a5188768
13108360b102
147773c7888
154517cdd72
hex296fede40

11123220032 has 56 divisors (see below), whose sum is σ = 22568367360. Its totient is φ = 5436979200.

The previous prime is 11123220029. The next prime is 11123220133. The reversal of 11123220032 is 23002232111.

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, 3611069 + ... + 3614147.

It is an arithmetic number, because the mean of its divisors is an integer number (403006560).

Almost surely, 211123220032 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 11123220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11284183680).

11123220032 is an abundant number, since it is smaller than the sum of its proper divisors (11445147328).

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

11123220032 is a wasteful number, since it uses less digits than its factorization.

11123220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11123220032 its reverse (23002232111), we get a palindrome (34125452143).

The spelling of 11123220032 in words is "eleven billion, one hundred twenty-three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1201 1504 2402 3008 3079 4804 6158 9608 12316 19216 24632 38432 49264 56447 76864 98528 112894 144713 197056 225788 289426 451576 578852 903152 1157704 1806304 2315408 3612608 3697879 4630816 7395758 9261632 14791516 29583032 59166064 118332128 173800313 236664256 347600626 695201252 1390402504 2780805008 5561610016 11123220032