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132321303120000 = 273543171739239
BaseRepresentation
bin11110000101100001110100…
…010001001100100010000000
3122100111210102010100210022110
4132011201310101030202000
5114320423012044320000
61145231322323535320
736604620146522601
oct3605416421144200
9570453363323273
10132321303120000
1139186171002705
1212a1090882a540
1358aaacb2b0bb7
142496557169da8
151046eaa0aa850
hex78587444c880

132321303120000 has 320 divisors, whose sum is σ = 440593251278400. Its totient is φ = 35174349312000.

The previous prime is 132321303119983. The next prime is 132321303120037. The reversal of 132321303120000 is 21303123231.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 75210381 + ... + 76949619.

It is an arithmetic number, because the mean of its divisors is an integer number (1376853910245).

Almost surely, 2132321303120000 is an apocalyptic number.

132321303120000 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 132321303120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220296625639200).

132321303120000 is an abundant number, since it is smaller than the sum of its proper divisors (308271948158400).

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

132321303120000 is an equidigital number, since it uses as much as digits as its factorization.

132321303120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739593 (or 1739566 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132321303120000 its reverse (21303123231), we get a palindrome (132342606243231).

The spelling of 132321303120000 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, three hundred three million, one hundred twenty thousand".