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132331021200 = 24325277173961
BaseRepresentation
bin111101100111110001…
…0110010001110010000
3110122120101011101120100
41323033202302032100
54132003220134300
6140443025012400
712363200056350
oct1731742621620
9418511141510
10132331021200
1151137458934
1221791484100
13c62babb711
146594cd0b60
153697811700
hex1ecf8b2390

132331021200 has 360 divisors, whose sum is σ = 532228185216. Its totient is φ = 29820672000.

The previous prime is 132331021171. The next prime is 132331021211. The reversal of 132331021200 is 2120133231.

132331021200 is a `hidden beast` number, since 132 + 3 + 310 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1323310212002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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, 1752220 + ... + 1826180.

Almost surely, 2132331021200 is an apocalyptic number.

132331021200 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 132331021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266114092608).

132331021200 is an abundant number, since it is smaller than the sum of its proper divisors (399897164016).

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

132331021200 is a wasteful number, since it uses less digits than its factorization.

132331021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74063 (or 74049 counting only the distinct ones).

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

Adding to 132331021200 its reverse (2120133231), we get a palindrome (134451154431).

The spelling of 132331021200 in words is "one hundred thirty-two billion, three hundred thirty-one million, twenty-one thousand, two hundred".