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132023200320 = 26335111389133
BaseRepresentation
bin111101011110100110…
…0100010101001000000
3110121202220221110201000
41322331030202221000
54130340414402240
6140352311212000
712352441454364
oct1727514425100
9417686843630
10132023200320
1150a99722510
1221706377000
13c5b00b2b9b
1465660832a4
15367a7aa430
hex1ebd322a40

132023200320 has 224 divisors, whose sum is σ = 508089651840. Its totient is φ = 32005601280.

The previous prime is 132023200307. The next prime is 132023200327. The reversal of 132023200320 is 23002320231.

It is a happy number.

132023200320 is a `hidden beast` number, since 1 + 3 + 20 + 2 + 320 + 0 + 320 = 666.

132023200320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 132023200293 and 132023200302.

It is not an unprimeable number, because it can be changed into a prime (132023200327) 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 31 ways as a sum of consecutive naturals, for example, 599527 + ... + 789606.

Almost surely, 2132023200320 is an apocalyptic number.

132023200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132023200320 is an abundant number, since it is smaller than the sum of its proper divisors (376066451520).

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

132023200320 is a wasteful number, since it uses less digits than its factorization.

132023200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389170 (or 1389154 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132023200320 its reverse (23002320231), we get a palindrome (155025520551).

The spelling of 132023200320 in words is "one hundred thirty-two billion, twenty-three million, two hundred thousand, three hundred twenty".