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132002123000 = 23531131521743
BaseRepresentation
bin111101011101111110…
…0001000110011111000
3110121201110021122001112
41322323330020303320
54130320020414000
6140350235335452
712352064350436
oct1727374106370
9417643248045
10132002123000
1150a88836840
12216bb2b1588
13c5a89132b7
146563357d56
1536789e5235
hex1ebbf08cf8

132002123000 has 256 divisors, whose sum is σ = 348971950080. Its totient is φ = 46300800000.

The previous prime is 132002122961. The next prime is 132002123003. The reversal of 132002123000 is 321200231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002123003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177660629 + ... + 177661371.

It is an arithmetic number, because the mean of its divisors is an integer number (1363171680).

Almost surely, 2132002123000 is an apocalyptic number.

132002123000 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 132002123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174485975040).

132002123000 is an abundant number, since it is smaller than the sum of its proper divisors (216969827080).

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

132002123000 is a wasteful number, since it uses less digits than its factorization.

132002123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 132002123000 its reverse (321200231), we get a palindrome (132323323231).

The spelling of 132002123000 in words is "one hundred thirty-two billion, two million, one hundred twenty-three thousand".