Search a number
-
+
11032211204 = 2272914279521
BaseRepresentation
bin10100100011001001…
…00010111100000100
31001110212001101200222
422101210202330010
5140043221224304
65022414323512
7540250151030
oct122144427404
931425041628
1011032211204
114751439623
12217a7b9598
13106a7c4c31
147692971c0
154488034be
hex291922f04

11032211204 has 48 divisors (see below), whose sum is σ = 22843658880. Its totient is φ = 4561374720.

The previous prime is 11032211191. The next prime is 11032211209. The reversal of 11032211204 is 40211223011.

It is not an unprimeable number, because it can be changed into a prime (11032211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153964 + ... + 1163484.

It is an arithmetic number, because the mean of its divisors is an integer number (475909560).

Almost surely, 211032211204 is an apocalyptic number.

11032211204 is a gapful number since it is divisible by the number (14) 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 11032211204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11421829440).

11032211204 is an abundant number, since it is smaller than the sum of its proper divisors (11811447676).

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

11032211204 is a wasteful number, since it uses less digits than its factorization.

11032211204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11032211204 its reverse (40211223011), we get a palindrome (51243434215).

The spelling of 11032211204 in words is "eleven billion, thirty-two million, two hundred eleven thousand, two hundred four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1427 2854 5708 9521 9989 19042 19978 38084 39956 41383 66647 82766 133294 165532 266588 276109 289681 552218 579362 1104436 1158724 1932763 3865526 7731052 13586467 27172934 54345868 95105269 190210538 380421076 394007543 788015086 1576030172 2758052801 5516105602 11032211204