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132120513 = 3273127337
BaseRepresentation
bin1111101111111…
…11111111000001
3100012121102021100
413313333333001
5232310324023
621035445013
73163002000
oct767777701
9305542240
10132120513
1168640108
12382b6769
13214aba25
1413792c37
15b8ebc43
hex7dfffc1

132120513 has 48 divisors (see below), whose sum is σ = 224972800. Its totient is φ = 74680704.

The previous prime is 132120511. The next prime is 132120523. The reversal of 132120513 is 315021231.

132120513 is a `hidden beast` number, since 1 + 32 + 120 + 513 = 666.

It is not a de Polignac number, because 132120513 - 21 = 132120511 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132120511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391881 + ... + 392217.

Almost surely, 2132120513 is an apocalyptic number.

It is an amenable number.

132120513 is a deficient number, since it is larger than the sum of its proper divisors (92852287).

132120513 is a wasteful number, since it uses less digits than its factorization.

132120513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132120513 is about 11494.3687516975. The cubic root of 132120513 is about 509.3192416566.

Adding to 132120513 its reverse (315021231), we get a palindrome (447141744).

The spelling of 132120513 in words is "one hundred thirty-two million, one hundred twenty thousand, five hundred thirteen".

Divisors: 1 3 7 9 21 49 63 127 147 337 343 381 441 889 1011 1029 1143 2359 2667 3033 3087 6223 7077 8001 16513 18669 21231 42799 43561 49539 56007 115591 128397 130683 148617 299593 346773 385191 392049 898779 1040319 2097151 2696337 6291453 14680057 18874359 44040171 132120513