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132823281 = 31973137233
BaseRepresentation
bin1111110101010…
…11100011110001
3100020221010021210
413322223203301
5233000321111
621102510333
73201656613
oct772534361
9306833253
10132823281
1168a80108
12385953a9
1321696876
14138d6db3
15b9da0a6
hex7eab8f1

132823281 has 32 divisors (see below), whose sum is σ = 191168640. Its totient is φ = 81782784.

The previous prime is 132823237. The next prime is 132823307. The reversal of 132823281 is 182328231.

It is not a de Polignac number, because 132823281 - 26 = 132823217 is a prime.

It is a super-2 number, since 2×1328232812 = 35284047951209922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132823211) 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, 569941 + ... + 570173.

It is an arithmetic number, because the mean of its divisors is an integer number (5974020).

Almost surely, 2132823281 is an apocalyptic number.

It is an amenable number.

132823281 is a deficient number, since it is larger than the sum of its proper divisors (58345359).

132823281 is a wasteful number, since it uses less digits than its factorization.

132823281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

The product of its digits is 4608, while the sum is 30.

The square root of 132823281 is about 11524.8983075774. The cubic root of 132823281 is about 510.2206926441.

The spelling of 132823281 in words is "one hundred thirty-two million, eight hundred twenty-three thousand, two hundred eighty-one".

Divisors: 1 3 19 57 73 137 219 233 411 699 1387 2603 4161 4427 7809 10001 13281 17009 30003 31921 51027 95763 190019 323171 570057 606499 969513 1819497 2330233 6990699 44274427 132823281