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123132300000 = 253553711093
BaseRepresentation
bin111001010101101000…
…0011100101011100000
3102202211022010221022120
41302223100130223200
54004133332100000
6132322144304240
711616222165243
oct1625320345340
9382738127276
10123132300000
1148246a78506
121ba44912080
13b7c4111218
145d6134b25a
153309e7e6a0
hex1cab41cae0

123132300000 has 288 divisors, whose sum is σ = 414958378464. Its totient is φ = 31944960000.

The previous prime is 123132299993. The next prime is 123132300001. The reversal of 123132300000 is 3231321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132300001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11094454 + ... + 11105546.

It is an arithmetic number, because the mean of its divisors is an integer number (1440827703).

Almost surely, 2123132300000 is an apocalyptic number.

123132300000 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 123132300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207479189232).

123132300000 is an abundant number, since it is smaller than the sum of its proper divisors (291826078464).

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

123132300000 is an equidigital number, since it uses as much as digits as its factorization.

123132300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 123132300000 its reverse (3231321), we get a palindrome (123135531321).

The spelling of 123132300000 in words is "one hundred twenty-three billion, one hundred thirty-two million, three hundred thousand".