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132322330120200 = 2335211216011138427
BaseRepresentation
bin11110000101100010110001…
…011110111001000000001000
3122100111220001200211210201220
4132011202301132321000020
5114320432113002321300
61145232012252042040
736604654460056353
oct3605426136710010
9570456050753656
10132322330120200
1139186648798100
1212a10b54763320
1358aac32cb281c
14249661370529a
15104701a321da0
hex7858b17b9008

132322330120200 has 288 divisors, whose sum is σ = 451162158461280. Its totient is φ = 32058076160000.

The previous prime is 132322330120153. The next prime is 132322330120229. The reversal of 132322330120200 is 2021033223231.

132322330120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 115663387 + ... + 116801813.

It is an arithmetic number, because the mean of its divisors is an integer number (1566535272435).

Almost surely, 2132322330120200 is an apocalyptic number.

132322330120200 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 132322330120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225581079230640).

132322330120200 is an abundant number, since it is smaller than the sum of its proper divisors (318839828341080).

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

132322330120200 is a wasteful number, since it uses less digits than its factorization.

132322330120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140069 (or 1140049 counting only the distinct ones).

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

Adding to 132322330120200 its reverse (2021033223231), we get a palindrome (134343363343431).

The spelling of 132322330120200 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, three hundred thirty million, one hundred twenty thousand, two hundred".