Search a number
-
+
132321202200 = 2332521119351731
BaseRepresentation
bin111101100111011110…
…1010101000000011000
3110122112200200112102200
41323032331111000120
54131443211432300
6140442034330200
712363020442465
oct1731675250030
9418480615380
10132321202200
1151131961760
122178a129960
13c629a61365
14659389666c
153696a22200
hex1ecef55018

132321202200 has 288 divisors, whose sum is σ = 510292785600. Its totient is φ = 30389472000.

The previous prime is 132321202183. The next prime is 132321202207. The reversal of 132321202200 is 2202123231.

132321202200 is a `hidden beast` number, since 1 + 323 + 2 + 120 + 220 + 0 = 666.

132321202200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (132321202207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 200335 + ... + 552065.

It is an arithmetic number, because the mean of its divisors is an integer number (1771849950).

Almost surely, 2132321202200 is an apocalyptic number.

132321202200 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 132321202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255146392800).

132321202200 is an abundant number, since it is smaller than the sum of its proper divisors (377971583400).

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

132321202200 is a wasteful number, since it uses less digits than its factorization.

132321202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351783 (or 351771 counting only the distinct ones).

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

Adding to 132321202200 its reverse (2202123231), we get a palindrome (134523325431).

The spelling of 132321202200 in words is "one hundred thirty-two billion, three hundred twenty-one million, two hundred two thousand, two hundred".