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132230211322200 = 233524611588730091
BaseRepresentation
bin11110000100001100111110…
…110001100100000101011000
3122100012002021210002000011120
4132010030332301210011120
5114312424433044302300
61145121415342325240
736565213622154225
oct3604147661440530
9570162253060146
10132230211322200
1139150577069792
12129b7126289820
1358a2342220424
142491d9526694c
151044927e683a0
hex78433ec64158

132230211322200 has 192 divisors, whose sum is σ = 410842349406720. Its totient is φ = 35181516864000.

The previous prime is 132230211322199. The next prime is 132230211322211. The reversal of 132230211322200 is 2223112032231.

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

It is a congruent number.

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, 4394329155 + ... + 4394359245.

It is an arithmetic number, because the mean of its divisors is an integer number (2139803903160).

Almost surely, 2132230211322200 is an apocalyptic number.

132230211322200 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 132230211322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205421174703360).

132230211322200 is an abundant number, since it is smaller than the sum of its proper divisors (278612138084520).

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

132230211322200 is a wasteful number, since it uses less digits than its factorization.

132230211322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46458 (or 46449 counting only the distinct ones).

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

Adding to 132230211322200 its reverse (2223112032231), we get a palindrome (134453323354431).

The spelling of 132230211322200 in words is "one hundred thirty-two trillion, two hundred thirty billion, two hundred eleven million, three hundred twenty-two thousand, two hundred".