Search a number
-
+
11231310220200 = 2333527793761071
BaseRepresentation
bin1010001101101111111001…
…0000011000101110101000
31110202200222022122100102000
42203123332100120232220
52433003210404021300
635515332004211000
72236302223464210
oct243337620305650
943680868570360
1011231310220200
113640198901a54
121314853099a60
136361533b1135
142ab853ac3240
151472437b5c00
hexa36fe418ba8

11231310220200 has 384 divisors, whose sum is σ = 44771801088000. Its totient is φ = 2534660294400.

The previous prime is 11231310220187. The next prime is 11231310220201. The reversal of 11231310220200 is 202201313211.

11231310220200 is a `hidden beast` number, since 1 + 1 + 231 + 3 + 10 + 220 + 200 = 666.

11231310220200 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 2×112313102202002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11231310220201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1105665 + ... + 4866735.

It is an arithmetic number, because the mean of its divisors is an integer number (116593232000).

Almost surely, 211231310220200 is an apocalyptic number.

11231310220200 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 11231310220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385900544000).

11231310220200 is an abundant number, since it is smaller than the sum of its proper divisors (33540490867800).

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

11231310220200 is a wasteful number, since it uses less digits than its factorization.

11231310220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761182 (or 3761167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11231310220200 its reverse (202201313211), we get a palindrome (11433511533411).

The spelling of 11231310220200 in words is "eleven trillion, two hundred thirty-one billion, three hundred ten million, two hundred twenty thousand, two hundred".