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132021201400000 = 265511116351599
BaseRepresentation
bin11110000001001010010100…
…110011111111000011000000
3122022110002210112000211221221
4132001022110303333003000
5114301013410024300000
61144441411434324424
736544134305142403
oct3601122463770300
9568402715024857
10132021201400000
113907a97144a6a0
1212982715289714
135888713388953
142485c08709d3a
15103e293a0761a
hex781294cff0c0

132021201400000 has 336 divisors, whose sum is σ = 357536091225600. Its totient is φ = 47965500800000.

The previous prime is 132021201399961. The next prime is 132021201400019. The reversal of 132021201400000 is 4102120231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2558574201 + ... + 2558625799.

It is an arithmetic number, because the mean of its divisors is an integer number (1064095509600).

Almost surely, 2132021201400000 is an apocalyptic number.

132021201400000 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 132021201400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178768045612800).

132021201400000 is an abundant number, since it is smaller than the sum of its proper divisors (225514889825600).

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

132021201400000 is an equidigital number, since it uses as much as digits as its factorization.

132021201400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52810 (or 52780 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 132021201400000 its reverse (4102120231), we get a palindrome (132025303520231).

The spelling of 132021201400000 in words is "one hundred thirty-two trillion, twenty-one billion, two hundred one million, four hundred thousand".