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132821001 = 32196711593
BaseRepresentation
bin1111110101010…
…11000000001001
3100020221000011100
413322223000021
5233000233001
621102452013
73201650145
oct772530011
9306830140
10132821001
1168a79425
1238594009
1321695811
14138d6225
15b9d9586
hex7eab009

132821001 has 24 divisors (see below), whose sum is σ = 204981920. Its totient is φ = 82627776.

The previous prime is 132820993. The next prime is 132821027. The reversal of 132821001 is 100128231.

It is not a de Polignac number, because 132821001 - 23 = 132820993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132821071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5661 + ... + 17253.

Almost surely, 2132821001 is an apocalyptic number.

It is an amenable number.

132821001 is a deficient number, since it is larger than the sum of its proper divisors (72160919).

132821001 is a wasteful number, since it uses less digits than its factorization.

132821001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11685 (or 11682 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 132821001 is about 11524.7993908788. The cubic root of 132821001 is about 510.2177732015.

Adding to 132821001 its reverse (100128231), we get a palindrome (232949232).

The spelling of 132821001 in words is "one hundred thirty-two million, eight hundred twenty-one thousand, one".

Divisors: 1 3 9 19 57 67 171 201 603 1273 3819 11457 11593 34779 104337 220267 660801 776731 1982403 2330193 6990579 14757889 44273667 132821001