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132252245000 = 23543721392
BaseRepresentation
bin111101100101011011…
…0010001110000001000
3110122100212221010221022
41323022312101300020
54131323033320000
6140431132332012
712361222351211
oct1731266216010
9418325833838
10132252245000
11510a6a43137
122176b014008
13c618699395
146588666408
153690950585
hex1ecad91c08

132252245000 has 180 divisors, whose sum is σ = 320775760305. Its totient is φ = 51100848000.

The previous prime is 132252244967. The next prime is 132252245017. The reversal of 132252245000 is 542252231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 3843256036 + 128408988964 = 61994^2 + 358342^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=257150.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 951454931 + ... + 951455069.

Almost surely, 2132252245000 is an apocalyptic number.

132252245000 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 132252245000

132252245000 is an abundant number, since it is smaller than the sum of its proper divisors (188523515305).

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

132252245000 is an frugal number, since it uses more digits than its factorization.

132252245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 132252245000 its reverse (542252231), we get a palindrome (132794497231).

The spelling of 132252245000 in words is "one hundred thirty-two billion, two hundred fifty-two million, two hundred forty-five thousand".