Search a number
-
+
11230002300 = 22352113403031
BaseRepresentation
bin10100111010101110…
…00011110001111100
31001222122020020002010
422131113003301330
5140444340033200
65054201531220
7545201305326
oct123527036174
931878206063
1011230002300
114843052a40
122214aa3b10
13109c78799a
14787662616
1545ad73150
hex29d5c3c7c

11230002300 has 72 divisors (see below), whose sum is σ = 35445981312. Its totient is φ = 2722424000.

The previous prime is 11230002257. The next prime is 11230002317. The reversal of 11230002300 is 320003211.

It is a happy number.

It is a super-2 number, since 2×112300023002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1698216 + ... + 1704815.

It is an arithmetic number, because the mean of its divisors is an integer number (492305296).

Almost surely, 211230002300 is an apocalyptic number.

11230002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11230002300 is an abundant number, since it is smaller than the sum of its proper divisors (24215979012).

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

11230002300 is a wasteful number, since it uses less digits than its factorization.

11230002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403059 (or 3403052 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11230002300 its reverse (320003211), we get a palindrome (11550005511).

The spelling of 11230002300 in words is "eleven billion, two hundred thirty million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3403031 6806062 10209093 13612124 17015155 20418186 34030310 37433341 40836372 51045465 68060620 74866682 85075775 102090930 112300023 149733364 170151550 187166705 204181860 224600046 255227325 340303100 374333410 449200092 510454650 561500115 748666820 935833525 1020909300 1123000230 1871667050 2246000460 2807500575 3743334100 5615001150 11230002300