Search a number
-
+
11024433420 = 22357113133741
BaseRepresentation
bin10100100010001101…
…11000000100001100
31001110022102020120220
422101012320010030
5140034223332140
65021535511340
7540124065210
oct122106700414
931408366526
1011024433420
114748007000
122178088550
1310690009b0
14768230940
15447cb8bd0
hex2911b810c

11024433420 has 768 divisors, whose sum is σ = 43964411904. Its totient is φ = 2007244800.

The previous prime is 11024433391. The next prime is 11024433421. The reversal of 11024433420 is 2433442011.

It is not an unprimeable number, because it can be changed into a prime (11024433421) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 268888600 + ... + 268888640.

It is an arithmetic number, because the mean of its divisors is an integer number (57245328).

Almost surely, 211024433420 is an apocalyptic number.

11024433420 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 11024433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21982205952).

11024433420 is an abundant number, since it is smaller than the sum of its proper divisors (32939978484).

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

11024433420 is a wasteful number, since it uses less digits than its factorization.

11024433420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11024433420 its reverse (2433442011), we get a palindrome (13457875431).

It can be divided in two parts, 11024 and 433420, that added together give a palindrome (444444).

The spelling of 11024433420 in words is "eleven billion, twenty-four million, four hundred thirty-three thousand, four hundred twenty".