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132233001100200 = 23325271113233786239
BaseRepresentation
bin11110000100001111100101…
…000011101110001110101000
3122100012100111012112102010200
4132010033211003232032220
5114313001141240201300
61145123000241112200
736565343015656620
oct3604174503561650
9570170435472120
10132233001100200
11391517788a5240
12129b7784628660
1358a26981aba40
14249217b989880
151044a3cd34200
hex7843e50ee3a8

132233001100200 has 2304 divisors, whose sum is σ = 638997501542400. Its totient is φ = 23604651417600.

The previous prime is 132233001100129. The next prime is 132233001100201. The reversal of 132233001100200 is 2001100332231.

132233001100200 is a `hidden beast` number, since 1 + 3 + 22 + 330 + 0 + 110 + 0 + 200 = 666.

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 (132233001100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1533288681 + ... + 1533374919.

It is an arithmetic number, because the mean of its divisors is an integer number (277342665600).

Almost surely, 2132233001100200 is an apocalyptic number.

132233001100200 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 132233001100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319498750771200).

132233001100200 is an abundant number, since it is smaller than the sum of its proper divisors (506764500442200).

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

132233001100200 is a wasteful number, since it uses less digits than its factorization.

132233001100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86352 (or 86340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132233001100200 its reverse (2001100332231), we get a palindrome (134234101432431).

It can be divided in two parts, 132 and 233001100200, that added together give a palindrome (233001100332).

The spelling of 132233001100200 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, one million, one hundred thousand, two hundred".