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132001233000 = 233537131313691
BaseRepresentation
bin111101011101111100…
…0101111100001101000
3110121201101121102012120
41322323320233201220
54130314303424000
6140350204311240
712352053652620
oct1727370574150
9417641542176
10132001233000
1150a882890aa
12216bab42520
13c5a8691180
1465631a5880
1536788bb6a0
hex1ebbe2f868

132001233000 has 512 divisors, whose sum is σ = 510892462080. Its totient is φ = 27630720000.

The previous prime is 132001232939. The next prime is 132001233017. The reversal of 132001233000 is 332100231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35761155 + ... + 35764845.

It is an arithmetic number, because the mean of its divisors is an integer number (997836840).

Almost surely, 2132001233000 is an apocalyptic number.

132001233000 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 132001233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255446231040).

132001233000 is an abundant number, since it is smaller than the sum of its proper divisors (378891229080).

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

132001233000 is a wasteful number, since it uses less digits than its factorization.

132001233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3852 counting only the distinct ones).

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

Adding to 132001233000 its reverse (332100231), we get a palindrome (132333333231).

The spelling of 132001233000 in words is "one hundred thirty-two billion, one million, two hundred thirty-three thousand".