Search a number
-
+
11304543200 = 2552136710337
BaseRepresentation
bin10101000011100110…
…11010001111100000
31002011211111021222012
422201303122033200
5141122430340300
65105423332052
7550065013616
oct124163321740
932154437865
1011304543200
114881135695
122235a51028
1310b2056322
147935076b6
15462699435
hex2a1cda3e0

11304543200 has 72 divisors (see below), whose sum is σ = 27620075952. Its totient is φ = 4518072320.

The previous prime is 11304543181. The next prime is 11304543209. The reversal of 11304543200 is 234540311.

It is a super-3 number, since 3×113045432003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304543209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1088432 + ... + 1098768.

It is an arithmetic number, because the mean of its divisors is an integer number (383612166).

Almost surely, 211304543200 is an apocalyptic number.

11304543200 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 11304543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13810037976).

11304543200 is an abundant number, since it is smaller than the sum of its proper divisors (16315532752).

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

11304543200 is a wasteful number, since it uses less digits than its factorization.

11304543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11724 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 11304543200 in words is "eleven billion, three hundred four million, five hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1367 2734 5468 6835 10337 10936 13670 20674 21872 27340 34175 41348 43744 51685 54680 68350 82696 103370 109360 136700 165392 206740 218720 258425 273400 330784 413480 516850 546800 826960 1033700 1093600 1653920 2067400 4134800 8269600 14130679 28261358 56522716 70653395 113045432 141306790 226090864 282613580 353266975 452181728 565227160 706533950 1130454320 1413067900 2260908640 2826135800 5652271600 11304543200