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132002032221 = 3297151205077
BaseRepresentation
bin111101011101111101…
…1110010101001011101
3110121201110010000112100
41322323323302221131
54130320010012341
6140350233355313
712352063521663
oct1727373625135
9417643100470
10132002032221
1150a88784614
12216bb268b39
13c5a88b0b97
146563332c33
1536789c83b6
hex1ebbef2a5d

132002032221 has 12 divisors (see below), whose sum is σ = 192635269372. Its totient is φ = 87094123776.

The previous prime is 132002032207. The next prime is 132002032243. The reversal of 132002032221 is 122230200231.

132002032221 is a `hidden beast` number, since 1 + 320 + 0 + 2 + 0 + 322 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30805515225 + 101196516996 = 175515^2 + 318114^2 .

It is not a de Polignac number, because 132002032221 - 217 = 132001901149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132002032194 and 132002032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132002032291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75601666 + ... + 75603411.

Almost surely, 2132002032221 is an apocalyptic number.

It is an amenable number.

132002032221 is a deficient number, since it is larger than the sum of its proper divisors (60633237151).

132002032221 is a wasteful number, since it uses less digits than its factorization.

132002032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151205180 (or 151205177 counting only the distinct ones).

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

Adding to 132002032221 its reverse (122230200231), we get a palindrome (254232232452).

The spelling of 132002032221 in words is "one hundred thirty-two billion, two million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 97 291 873 151205077 453615231 1360845693 14666892469 44000677407 132002032221