Search a number
-
+
11230062480 = 24335713193197
BaseRepresentation
bin10100111010101110…
…10010011110010000
31001222122100021122000
422131113102132100
5140444343444410
65054203114000
7545201645640
oct123527223620
931878307560
1011230062480
11484309417a
122214b12900
13109c7a91b0
1478767a520
1545ad85dc0
hex29d5d2790

11230062480 has 1280 divisors, whose sum is σ = 52263321600. Its totient is φ = 2149908480.

The previous prime is 11230062479. The next prime is 11230062497. The reversal of 11230062480 is 8426003211.

11230062480 is a `hidden beast` number, since 1 + 1 + 2 + 30 + 0 + 624 + 8 + 0 = 666.

11230062480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112300624802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 115773792 + ... + 115773888.

It is an arithmetic number, because the mean of its divisors is an integer number (40830720).

Almost surely, 211230062480 is an apocalyptic number.

11230062480 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 11230062480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26131660800).

11230062480 is an abundant number, since it is smaller than the sum of its proper divisors (41033259120).

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

11230062480 is a wasteful number, since it uses less digits than its factorization.

11230062480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11230062480 its product of nonzero digits (2304), we get a square (11230064784 = 1059722).

Adding to 11230062480 its reverse (8426003211), we get a palindrome (19656065691).

The spelling of 11230062480 in words is "eleven billion, two hundred thirty million, sixty-two thousand, four hundred eighty".