Search a number
-
+
11200112232 = 2333742129959
BaseRepresentation
bin10100110111001010…
…00010011001101000
31001220112222122121120
422123211002121220
5140414212042412
65051213135240
7544356245301
oct123345023150
931815878546
1011200112232
114828198101
122206a8a520
131096520a5a
147836c17a8
1545841bb8c
hex29b942668

11200112232 has 64 divisors (see below), whose sum is σ = 28826313600. Its totient is φ = 3623719680.

The previous prime is 11200112197. The next prime is 11200112237. The reversal of 11200112232 is 23221100211.

It is not an unprimeable number, because it can be changed into a prime (11200112237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358869 + ... + 388827.

It is an arithmetic number, because the mean of its divisors is an integer number (450411150).

Almost surely, 211200112232 is an apocalyptic number.

11200112232 is a gapful number since it is divisible by the number (12) 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 11200112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14413156800).

11200112232 is an abundant number, since it is smaller than the sum of its proper divisors (17626201368).

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

11200112232 is a wasteful number, since it uses less digits than its factorization.

11200112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30426 (or 30422 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11200112232 its reverse (23221100211), we get a palindrome (34421212443).

The spelling of 11200112232 in words is "eleven billion, two hundred million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 421 444 842 888 1263 1684 2526 3368 5052 10104 15577 29959 31154 46731 59918 62308 89877 93462 119836 124616 179754 186924 239672 359508 373848 719016 1108483 2216966 3325449 4433932 6650898 8867864 12612739 13301796 25225478 26603592 37838217 50450956 75676434 100901912 151352868 302705736 466671343 933342686 1400014029 1866685372 2800028058 3733370744 5600056116 11200112232