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132321022000 = 2453411613671
BaseRepresentation
bin111101100111011110…
…0101001000000110000
3110122112200100101020121
41323032330221000300
54131443140201000
6140442030420024
712363016062226
oct1731674510060
9418480311217
10132321022000
1151131849332
122178a061614
13c6299ca32b
14659384ab16
1536969d8b1a
hex1ecef29030

132321022000 has 80 divisors (see below), whose sum is σ = 327756147264. Its totient is φ = 51637440000.

The previous prime is 132321021913. The next prime is 132321022003. The reversal of 132321022000 is 220123231.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (132321022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724836 + ... + 888835.

Almost surely, 2132321022000 is an apocalyptic number.

132321022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132321022000 is an abundant number, since it is smaller than the sum of its proper divisors (195435125264).

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

132321022000 is a wasteful number, since it uses less digits than its factorization.

132321022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613735 (or 1613719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132321022000 its reverse (220123231), we get a palindrome (132541145231).

The spelling of 132321022000 in words is "one hundred thirty-two billion, three hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000 1613671 3227342 6454684 8068355 12909368 16136710 25818736 32273420 40341775 64546840 66160511 80683550 129093680 132321022 161367100 201708875 264642044 322734200 330802555 403417750 529284088 645468400 661605110 806835500 1058568176 1323210220 1613671000 1654012775 2646420440 3227342000 3308025550 5292840880 6616051100 8270063875 13232102200 16540127750 26464204400 33080255500 66160511000 132321022000