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132332230410000 = 2435471923092657
BaseRepresentation
bin11110000101101011111111…
…100101011111111100010000
3122100112211121122222122011220
4132011223333211133330100
5114321112401441110000
61145240330513405040
736605455014124125
oct3605537745377420
9570484548878156
10132332230410000
113918a869199395
1212a12a58269780
1358abb5012b37a
142496cb251074c
1510473e95861a0
hex785aff95ff10

132332230410000 has 400 divisors, whose sum is σ = 428126560646400. Its totient is φ = 35210995712000.

The previous prime is 132332230409963. The next prime is 132332230410001. The reversal of 132332230410000 is 14032233231.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132332230410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49805128672 + ... + 49805131328.

It is an arithmetic number, because the mean of its divisors is an integer number (1070316401616).

Almost surely, 2132332230410000 is an apocalyptic number.

132332230410000 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 132332230410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214063280323200).

132332230410000 is an abundant number, since it is smaller than the sum of its proper divisors (295794330236400).

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

132332230410000 is a wasteful number, since it uses less digits than its factorization.

132332230410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132332230410000 its reverse (14032233231), we get a palindrome (132346262643231).

The spelling of 132332230410000 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, two hundred thirty million, four hundred ten thousand".