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132282213 = 3728910111
BaseRepresentation
bin1111110001001…
…11011101100101
3100012220122002020
413320213131211
5232331012323
621043133353
73164244300
oct770473545
9305818066
10132282213
1168740648
1238374259
13215374cb
14137d5b37
15b92eae3
hex7e27765

132282213 has 24 divisors (see below), whose sum is σ = 207498240. Its totient is φ = 74733120.

The previous prime is 132282193. The next prime is 132282217. The reversal of 132282213 is 312282231.

It is a happy number.

It is not a de Polignac number, because 132282213 - 26 = 132282149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132282217) 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 23 ways as a sum of consecutive naturals, for example, 8028 + ... + 18138.

It is an arithmetic number, because the mean of its divisors is an integer number (8645760).

Almost surely, 2132282213 is an apocalyptic number.

It is an amenable number.

132282213 is a deficient number, since it is larger than the sum of its proper divisors (75216027).

132282213 is a wasteful number, since it uses less digits than its factorization.

132282213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217 (or 10210 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 132282213 is about 11501.4004799416. The cubic root of 132282213 is about 509.5269392703.

The spelling of 132282213 in words is "one hundred thirty-two million, two hundred eighty-two thousand, two hundred thirteen".

Divisors: 1 3 7 21 49 89 147 267 623 1869 4361 10111 13083 30333 70777 212331 495439 899879 1486317 2699637 6299153 18897459 44094071 132282213