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132020320221 = 3240935865341
BaseRepresentation
bin111101011110100000…
…1100011011111011101
3110121202201112010221200
41322331001203133131
54130334200221341
6140352125350113
712352405130526
oct1727501433735
9417681463850
10132020320221
1150a98035669
1221705408339
13c5ac614c9a
14656593384d
15367a3dbdb6
hex1ebd0637dd

132020320221 has 12 divisors (see below), whose sum is σ = 191162272860. Its totient is φ = 87798352320.

The previous prime is 132020320207. The next prime is 132020320249. The reversal of 132020320221 is 122023020231.

132020320221 is a `hidden beast` number, since 1 + 320 + 2 + 0 + 320 + 2 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71264972025 + 60755348196 = 266955^2 + 246486^2 .

It is not a de Polignac number, because 132020320221 - 229 = 131483449309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132020320194 and 132020320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020320921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17928990 + ... + 17936351.

It is an arithmetic number, because the mean of its divisors is an integer number (15930189405).

Almost surely, 2132020320221 is an apocalyptic number.

It is an amenable number.

132020320221 is a deficient number, since it is larger than the sum of its proper divisors (59141952639).

132020320221 is a wasteful number, since it uses less digits than its factorization.

132020320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35865756 (or 35865753 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132020320221 its reverse (122023020231), we get a palindrome (254043340452).

The spelling of 132020320221 in words is "one hundred thirty-two billion, twenty million, three hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 409 1227 3681 35865341 107596023 322788069 14668924469 44006773407 132020320221