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132333330000 = 243544799209
BaseRepresentation
bin111101100111110101…
…1100101111001010000
3110122120112111200122110
41323033223211321100
54132004313030000
6140443150305320
712363225513504
oct1731753457120
9418515450573
10132333330000
1151138795533
12217921b8240
13c62c419581
146595332304
153697b1a850
hex1ecfae5e50

132333330000 has 200 divisors, whose sum is σ = 428127955200. Its totient is φ = 35211392000.

The previous prime is 132333329983. The next prime is 132333330011. The reversal of 132333330000 is 33333231.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1323333300002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14365396 + ... + 14374604.

It is an arithmetic number, because the mean of its divisors is an integer number (2140639776).

Almost surely, 2132333330000 is an apocalyptic number.

132333330000 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 132333330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214063977600).

132333330000 is an abundant number, since it is smaller than the sum of its proper divisors (295794625200).

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

132333330000 is an equidigital number, since it uses as much as digits as its factorization.

132333330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9719 (or 9698 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 132333330000 its reverse (33333231), we get a palindrome (132366663231).

The spelling of 132333330000 in words is "one hundred thirty-two billion, three hundred thirty-three million, three hundred thirty thousand".