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132221013342000 = 24353112141935707
BaseRepresentation
bin11110000100000100011010…
…100010000011011100110000
3122100011012112202110012101020
4132010010122202003130300
5114312302113403421000
61145113254525535440
736564436653500352
oct3604043242033460
9570135482405336
10132221013342000
1139147687045060
12129b5399a14580
1358a15077422ab
1424917618370d2
15104458a6d0ba0
hex78411a883730

132221013342000 has 320 divisors, whose sum is σ = 465251025028608. Its totient is φ = 32038573440000.

The previous prime is 132221013341981. The next prime is 132221013342059. The reversal of 132221013342000 is 243310122231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140838147 + ... + 141773853.

Almost surely, 2132221013342000 is an apocalyptic number.

132221013342000 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 132221013342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232625512514304).

132221013342000 is an abundant number, since it is smaller than the sum of its proper divisors (333030011686608).

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

132221013342000 is a wasteful number, since it uses less digits than its factorization.

132221013342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937885 (or 937869 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132221013342000 its reverse (243310122231), we get a palindrome (132464323464231).

The spelling of 132221013342000 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, thirteen million, three hundred forty-two thousand".