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132420321 = 3211732251
BaseRepresentation
bin1111110010010…
…01001011100001
3100020011122112100
413321021023201
5232344422241
621050121013
73165361035
oct771111341
9306148470
10132420321
1168825390
1238420169
1321585327
14138301c5
15b95a9b6
hex7e492e1

132420321 has 36 divisors (see below), whose sum is σ = 212402736. Its totient is φ = 78840000.

The previous prime is 132420317. The next prime is 132420347. The reversal of 132420321 is 123024231.

132420321 is a `hidden beast` number, since 1 + 324 + 20 + 321 = 666.

It is not a de Polignac number, because 132420321 - 22 = 132420317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132420294 and 132420303.

It is not an unprimeable number, because it can be changed into a prime (132420391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 527446 + ... + 527696.

It is an arithmetic number, because the mean of its divisors is an integer number (5900076).

Almost surely, 2132420321 is an apocalyptic number.

132420321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132420321 is a deficient number, since it is larger than the sum of its proper divisors (79982415).

132420321 is a wasteful number, since it uses less digits than its factorization.

132420321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 338 counting only the distinct ones).

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

The square root of 132420321 is about 11507.4028781476. The cubic root of 132420321 is about 509.7041998646.

Adding to 132420321 its reverse (123024231), we get a palindrome (255444552).

The spelling of 132420321 in words is "one hundred thirty-two million, four hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 73 99 219 251 657 753 803 2259 2409 2761 5329 7227 8283 15987 18323 24849 47961 54969 58619 164907 175857 201553 527571 604659 1337579 1813977 4012737 12038211 14713369 44140107 132420321