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132300201330000 = 243254113117924083
BaseRepresentation
bin11110000101001110001010…
…100000010000010101010000
3122100102202221111121210022200
4132011032022200100111100
5114320101303020030000
61145213512355203200
736603242215336134
oct3605161240202520
9570382844553280
10132300201330000
1139178222656540
1212a087b98a6500
1358a8b17579922
1424955147db3c4
151046672753500
hex78538a810550

132300201330000 has 1200 divisors, whose sum is σ = 523948290877440. Its totient is φ = 30863491200000.

The previous prime is 132300201329993. The next prime is 132300201330019. The reversal of 132300201330000 is 33102003231.

132300201330000 is a `hidden beast` number, since 1 + 32 + 300 + 2 + 0 + 1 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5493497959 + ... + 5493522041.

Almost surely, 2132300201330000 is an apocalyptic number.

132300201330000 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 132300201330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261974145438720).

132300201330000 is an abundant number, since it is smaller than the sum of its proper divisors (391648089547440).

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

132300201330000 is a wasteful number, since it uses less digits than its factorization.

132300201330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24338 (or 24314 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132300201330000 its reverse (33102003231), we get a palindrome (132333303333231).

The spelling of 132300201330000 in words is "one hundred thirty-two trillion, three hundred billion, two hundred one million, three hundred thirty thousand".