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132300441 = 32721347491
BaseRepresentation
bin1111110001010…
…11111010011001
3100012221120002100
413320223322121
5232332103231
621043354013
73164351400
oct770537231
9305846070
10132300441
1168753309
1238382909
13215428b0
14137dc637
15b9351e6
hex7e2be99

132300441 has 72 divisors (see below), whose sum is σ = 244992384. Its totient is φ = 68160960.

The previous prime is 132300403. The next prime is 132300451. The reversal of 132300441 is 144003231.

It is not a de Polignac number, because 132300441 - 27 = 132300313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132300451) 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 71 ways as a sum of consecutive naturals, for example, 269206 + ... + 269696.

It is an arithmetic number, because the mean of its divisors is an integer number (3402672).

Almost surely, 2132300441 is an apocalyptic number.

It is an amenable number.

132300441 is a deficient number, since it is larger than the sum of its proper divisors (112691943).

132300441 is a wasteful number, since it uses less digits than its factorization.

132300441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

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

The square root of 132300441 is about 11502.1928778820. The cubic root of 132300441 is about 509.5503418383.

Adding to 132300441 its reverse (144003231), we get a palindrome (276303672).

The spelling of 132300441 in words is "one hundred thirty-two million, three hundred thousand, four hundred forty-one".

Divisors: 1 3 7 9 13 21 39 47 49 63 91 117 141 147 273 329 423 441 491 611 637 819 987 1473 1833 1911 2303 2961 3437 4277 4419 5499 5733 6383 6909 10311 12831 19149 20727 23077 24059 29939 30933 38493 44681 57447 69231 72177 89817 134043 161539 207693 216531 269451 300001 312767 402129 484617 900003 938301 1130773 1453851 2100007 2700009 2814903 3392319 6300021 10176957 14700049 18900063 44100147 132300441