Search a number
-
+
11223231120 = 24325131257463
BaseRepresentation
bin10100111001111010…
…01110101010010000
31001222011111012202200
422130331032222100
5140441121343440
65053400443200
7545056614303
oct123475165220
931864435680
1011223231120
11483a248722
122212779500
13109b25697a
147867bcb3a
1545a486c30
hex29cf4ea90

11223231120 has 240 divisors, whose sum is σ = 38209197312. Its totient is φ = 2952069120.

The previous prime is 11223231091. The next prime is 11223231161. The reversal of 11223231120 is 2113232211.

11223231120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 11223231093 and 11223231102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24240009 + ... + 24240471.

Almost surely, 211223231120 is an apocalyptic number.

11223231120 is a gapful number since it is divisible by the number (10) 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 11223231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19104598656).

11223231120 is an abundant number, since it is smaller than the sum of its proper divisors (26985966192).

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

11223231120 is a wasteful number, since it uses less digits than its factorization.

11223231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11223231120 its reverse (2113232211), we get a palindrome (13336463331).

The spelling of 11223231120 in words is "eleven billion, two hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty".