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11230023202200 = 2332521137671092099
BaseRepresentation
bin1010001101101011000110…
…0010110011010110011000
31110202120122121220001121200
42203122301202303112120
52432443041414432300
635515000151034200
72236225305143145
oct243326142632630
943676577801550
1011230023202200
11363a698371310
12131455406b960
13635ca987011a
142ab770bc13cc
151471ba7dc200
hexa36b18b3598

11230023202200 has 1152 divisors, whose sum is σ = 43299416160000. Its totient is φ = 2584145203200.

The previous prime is 11230023202157. The next prime is 11230023202201. The reversal of 11230023202200 is 220232003211.

11230023202200 is a `hidden beast` number, since 1 + 1 + 230 + 0 + 232 + 0 + 2 + 200 = 666.

It is a super-2 number, since 2×112300232022002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230023202201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5350176751 + ... + 5350178849.

It is an arithmetic number, because the mean of its divisors is an integer number (37586298750).

Almost surely, 211230023202200 is an apocalyptic number.

11230023202200 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 11230023202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21649708080000).

11230023202200 is an abundant number, since it is smaller than the sum of its proper divisors (32069392957800).

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

11230023202200 is a wasteful number, since it uses less digits than its factorization.

11230023202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11230023202200 its reverse (220232003211), we get a palindrome (11450255205411).

The spelling of 11230023202200 in words is "eleven trillion, two hundred thirty billion, twenty-three million, two hundred two thousand, two hundred".