Search a number
-
+
132330321 = 3311874129
BaseRepresentation
bin1111110001100…
…11001101010001
3100020000002002000
413320303031101
5232334032241
621044144213
73164534454
oct770631521
9306002060
10132330321
1168773802
1238398069
1321553386
141380949b
15b93deb6
hex7e33351

132330321 has 16 divisors (see below), whose sum is σ = 196257600. Its totient is φ = 88124544.

The previous prime is 132330313. The next prime is 132330323. The reversal of 132330321 is 123033231.

132330321 is a `hidden beast` number, since 13 + 2 + 330 + 321 = 666.

It is not a de Polignac number, because 132330321 - 23 = 132330313 is a prime.

It is a super-3 number, since 3×1323303213 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132330294 and 132330303.

It is not an unprimeable number, because it can be changed into a prime (132330323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29985 + ... + 34113.

It is an arithmetic number, because the mean of its divisors is an integer number (12266100).

Almost surely, 2132330321 is an apocalyptic number.

It is an amenable number.

132330321 is a deficient number, since it is larger than the sum of its proper divisors (63927279).

132330321 is a wasteful number, since it uses less digits than its factorization.

132330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132330321 is about 11503.4916873096. The cubic root of 132330321 is about 509.5886995289.

Adding to 132330321 its reverse (123033231), we get a palindrome (255363552).

It can be divided in two parts, 132330 and 321, that added together give a cube (132651 = 513).

The spelling of 132330321 in words is "one hundred thirty-two million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 1187 3561 4129 10683 12387 32049 37161 111483 4901123 14703369 44110107 132330321