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132000321321000 = 233253111368197459
BaseRepresentation
bin11110000000110110111000…
…010000110011100000101000
3122022101002220100110221021200
4132000312320100303200220
5114300143124224233000
61144424035510004200
736542465005326456
oct3600667020634050
9568332810427250
10132000321321000
1139072027165260
121297a668646660
135886766570b12
142484bc75b19d6
15103d970897500
hex780db8433828

132000321321000 has 384 divisors, whose sum is σ = 486761755708800. Its totient is φ = 31997410560000.

The previous prime is 132000321320981. The next prime is 132000321321031. The reversal of 132000321321000 is 123123000231.

132000321321000 is a `hidden beast` number, since 1 + 3 + 20 + 0 + 0 + 321 + 321 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1354370271 + ... + 1354467729.

It is an arithmetic number, because the mean of its divisors is an integer number (1267608738825).

Almost surely, 2132000321321000 is an apocalyptic number.

132000321321000 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 132000321321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243380877854400).

132000321321000 is an abundant number, since it is smaller than the sum of its proper divisors (354761434387800).

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

132000321321000 is a wasteful number, since it uses less digits than its factorization.

132000321321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111178 (or 111161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132000321321000 its reverse (123123000231), we get a palindrome (132123444321231).

The spelling of 132000321321000 in words is "one hundred thirty-two trillion, three hundred twenty-one million, three hundred twenty-one thousand".