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11111243300 = 2252539721613
BaseRepresentation
bin10100101100100100…
…00001111000100100
31001200100202122100122
422112102001320210
5140223434241200
65034320301112
7542230003223
oct122622017044
931610678318
1011111243300
114792009603
1221a1171798
131080ca68a1
1477598acba
15450715385
hex296481e24

11111243300 has 72 divisors (see below), whose sum is σ = 24820739496. Its totient is φ = 4315484160.

The previous prime is 11111243287. The next prime is 11111243317. The reversal of 11111243300 is 334211111.

It can be written as a sum of positive squares in 12 ways, for example, as 49252324 + 11061990976 = 7018^2 + 105176^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 503294 + ... + 524906.

It is an arithmetic number, because the mean of its divisors is an integer number (344732493).

Almost surely, 211111243300 is an apocalyptic number.

11111243300 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 11111243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410369748).

11111243300 is an abundant number, since it is smaller than the sum of its proper divisors (13709496196).

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

11111243300 is a wasteful number, since it uses less digits than its factorization.

11111243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21777 (or 21770 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11111243300 its reverse (334211111), we get a palindrome (11445454411).

The spelling of 11111243300 in words is "eleven billion, one hundred eleven million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 97 100 106 194 212 265 388 485 530 970 1060 1325 1940 2425 2650 4850 5141 5300 9700 10282 20564 21613 25705 43226 51410 86452 102820 108065 128525 216130 257050 432260 514100 540325 1080650 1145489 2096461 2161300 2290978 4192922 4581956 5727445 8385844 10482305 11454890 20964610 22909780 28637225 41929220 52411525 57274450 104823050 111112433 114548900 209646100 222224866 444449732 555562165 1111124330 2222248660 2777810825 5555621650 11111243300