Search a number
-
+
11120443400 = 23521110150047
BaseRepresentation
bin10100101101101010…
…01000000000001000
31001201000002001112002
422112311020000020
5140233313142100
65035245410132
7542401131533
oct122665100010
931630061462
1011120443400
1147972227a0
1221a4269948
131082b78331
14776ca3a1a
154514312d5
hex296d48008

11120443400 has 96 divisors (see below), whose sum is σ = 28485319680. Its totient is φ = 4003680000.

The previous prime is 11120443391. The next prime is 11120443441. The reversal of 11120443400 is 434402111.

It is a super-2 number, since 2×111204434002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197177 + ... + 247223.

It is an arithmetic number, because the mean of its divisors is an integer number (296722080).

Almost surely, 211120443400 is an apocalyptic number.

11120443400 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 11120443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242659840).

11120443400 is an abundant number, since it is smaller than the sum of its proper divisors (17364876280).

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

11120443400 is a wasteful number, since it uses less digits than its factorization.

11120443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50175 (or 50166 counting only the distinct ones).

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

Adding to 11120443400 its reverse (434402111), we get a palindrome (11554845511).

The spelling of 11120443400 in words is "eleven billion, one hundred twenty million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 50047 55550 100094 111100 200188 222200 250235 400376 500470 550517 1000940 1101034 1251175 2001880 2202068 2502350 2752585 4404136 5004700 5054747 5505170 10009400 10109494 11010340 13762925 20218988 22020680 25273735 27525850 40437976 50547470 55051700 55602217 101094940 110103400 111204434 126368675 202189880 222408868 252737350 278011085 444817736 505474700 556022170 1010949400 1112044340 1390055425 2224088680 2780110850 5560221700 11120443400