Search a number
-
+
11000233924 = 222294
BaseRepresentation
bin10100011111010101…
…00011111111000100
31001101121212210010021
422033222203333010
5140012024441144
65015313104524
7536411305561
oct121752437704
931347783107
1011000233924
114735388619
12216bb58144
131063ca9c74
14764d31868
15445ad8884
hex28faa3fc4

11000233924 has 15 divisors (see below), whose sum is σ = 19334840987. Its totient is φ = 5476098984.

The previous prime is 11000233921. The next prime is 11000233927. The reversal of 11000233924 is 42933200011.

The square root of 11000233924 is 104882.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (11000233921) and next prime (11000233927).

It can be written as a sum of positive squares in 2 ways, for example, as 8186992324 + 2813241600 = 90482^2 + 53040^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=229.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000233921) by changing a digit.

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 4 ways as a sum of consecutive naturals, for example, 48035842 + ... + 48036070.

Almost surely, 211000233924 is an apocalyptic number.

11000233924 is the 104882-nd square number.

It is an amenable number.

11000233924 is a deficient number, since it is larger than the sum of its proper divisors (8334607063).

11000233924 is an frugal number, since it uses more digits than its factorization.

11000233924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 11000233924 by its sum of digits (25), we get a square (275005848100 = 5244102).

Multiplying 11000233924 by its product of nonzero digits (1296), we get a square (14256303165504 = 37757522).

Adding to 11000233924 its reverse (42933200011), we get a palindrome (53933433935).

The spelling of 11000233924 in words is "eleven billion, two hundred thirty-three thousand, nine hundred twenty-four".

Divisors: 1 2 4 229 458 916 52441 104882 209764 12008989 24017978 48035956 2750058481 5500116962 11000233924