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132001223200 = 255271121910253
BaseRepresentation
bin111101011101111100…
…0101101001000100000
3110121201101120220202121
41322323320231020200
54130314303120300
6140350204154024
712352053612220
oct1727370551040
9417641526677
10132001223200
1150a88281800
12216bab38914
13c5a8689882
1465631a2080
1536788b881a
hex1ebbe2d220

132001223200 has 432 divisors, whose sum is σ = 426154599360. Its totient is φ = 38974003200.

The previous prime is 132001223131. The next prime is 132001223209. The reversal of 132001223200 is 2322100231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (132001223209) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12869274 + ... + 12879526.

It is an arithmetic number, because the mean of its divisors is an integer number (986468980).

Almost surely, 2132001223200 is an apocalyptic number.

132001223200 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 132001223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213077299680).

132001223200 is an abundant number, since it is smaller than the sum of its proper divisors (294153376160).

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

132001223200 is a wasteful number, since it uses less digits than its factorization.

132001223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132001223200 its reverse (2322100231), we get a palindrome (134323323431).

The spelling of 132001223200 in words is "one hundred thirty-two billion, one million, two hundred twenty-three thousand, two hundred".