Search a number
-
+
11344033300 = 22528310912539
BaseRepresentation
bin10101001000010100…
…00011011000010100
31002021120210121012111
422210022003120110
5141213033031200
65113354000404
7551054456245
oct124412033024
932246717174
1011344033300
1148a1458136
122247116104
1310ba2a1a52
14798866ccc
15465d9a0ba
hex2a4283614

11344033300 has 72 divisors (see below), whose sum is σ = 25143703200. Its totient is φ = 4441461120.

The previous prime is 11344033289. The next prime is 11344033303. The reversal of 11344033300 is 333044311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344033303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898431 + ... + 910969.

It is an arithmetic number, because the mean of its divisors is an integer number (349218100).

Almost surely, 211344033300 is an apocalyptic number.

11344033300 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 11344033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571851600).

11344033300 is an abundant number, since it is smaller than the sum of its proper divisors (13799669900).

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

11344033300 is a wasteful number, since it uses less digits than its factorization.

11344033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12745 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 11344033300 its reverse (333044311), we get a palindrome (11677077611).

The spelling of 11344033300 in words is "eleven billion, three hundred forty-four million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 109 166 218 332 415 436 545 830 1090 1660 2075 2180 2725 4150 5450 8300 9047 10900 12539 18094 25078 36188 45235 50156 62695 90470 125390 180940 226175 250780 313475 452350 626950 904700 1040737 1253900 1366751 2081474 2733502 4162948 5203685 5467004 6833755 10407370 13667510 20814740 26018425 27335020 34168775 52036850 68337550 104073700 113440333 136675100 226880666 453761332 567201665 1134403330 2268806660 2836008325 5672016650 11344033300