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132030103200 = 25352196414517
BaseRepresentation
bin111101011110110011…
…0110111111010100000
3110121210101221011200020
41322331212313322200
54130344201300300
6140353115153440
712352554234402
oct1727546677240
9417711834606
10132030103200
1150aa2607776
1221708745880
13c5b165bb28
146566d5cb72
15367b1c08a0
hex1ebd9b7ea0

132030103200 has 288 divisors, whose sum is σ = 453182869440. Its totient is φ = 33295564800.

The previous prime is 132030103111. The next prime is 132030103229. The reversal of 132030103200 is 2301030231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132030103200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29227342 + ... + 29231858.

It is an arithmetic number, because the mean of its divisors is an integer number (1573551630).

Almost surely, 2132030103200 is an apocalyptic number.

132030103200 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 132030103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226591434720).

132030103200 is an abundant number, since it is smaller than the sum of its proper divisors (321152766240).

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

132030103200 is a wasteful number, since it uses less digits than its factorization.

132030103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 132030103200 its reverse (2301030231), we get a palindrome (134331133431).

The spelling of 132030103200 in words is "one hundred thirty-two billion, thirty million, one hundred three thousand, two hundred".