Search a number
-
+
11213204240 = 2457199100621
BaseRepresentation
bin10100111000101101…
…11110101100010000
31001221110121210110202
422130112332230100
5140431040013430
65052401514332
7544605443360
oct123426765420
931843553422
1011213204240
11483461a347
12220b3429a8
131099155ac4
1478532c9a0
15459655d45
hex29c5beb10

11213204240 has 80 divisors (see below), whose sum is σ = 29945107200. Its totient is φ = 3825169920.

The previous prime is 11213204239. The next prime is 11213204243. The reversal of 11213204240 is 4240231211.

11213204240 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11213204243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61130 + ... + 161750.

It is an arithmetic number, because the mean of its divisors is an integer number (374313840).

Almost surely, 211213204240 is an apocalyptic number.

11213204240 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 11213204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14972553600).

11213204240 is an abundant number, since it is smaller than the sum of its proper divisors (18731902960).

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

11213204240 is a wasteful number, since it uses less digits than its factorization.

11213204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100840 (or 100834 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11213204240 its reverse (4240231211), we get a palindrome (15453435451).

The spelling of 11213204240 in words is "eleven billion, two hundred thirteen million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 199 280 398 560 796 995 1393 1592 1990 2786 3184 3980 5572 6965 7960 11144 13930 15920 22288 27860 55720 100621 111440 201242 402484 503105 704347 804968 1006210 1408694 1609936 2012420 2817388 3521735 4024840 5634776 7043470 8049680 11269552 14086940 20023579 28173880 40047158 56347760 80094316 100117895 140165053 160188632 200235790 280330106 320377264 400471580 560660212 700825265 800943160 1121320424 1401650530 1601886320 2242640848 2803301060 5606602120 11213204240