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321213132 = 2232372391009
BaseRepresentation
bin10011001001010…
…101001011001100
3211101102022120200
4103021111023030
51124212310012
651512413500
710650160302
oct2311251314
9741368520
10321213132
111553531a9
128b6a7290
1351717456
1430936272
151d2ee3dc
hex132552cc

321213132 has 72 divisors (see below), whose sum is σ = 838219200. Its totient is φ = 103638528.

The previous prime is 321213127. The next prime is 321213149. The reversal of 321213132 is 231312123.

321213132 is a `hidden beast` number, since 321 + 213 + 132 = 666.

321213132 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

321213132 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317844 + ... + 318852.

Almost surely, 2321213132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419109600).

321213132 is an abundant number, since it is smaller than the sum of its proper divisors (517006068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321213132 is a wasteful number, since it uses less digits than its factorization.

321213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1290 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 321213132 is about 17922.4198142996. The cubic root of 321213132 is about 684.8536331030.

Adding to 321213132 its reverse (231312123), we get a palindrome (552525255).

It can be divided in two parts, 32121 and 3132, that added together give a palindrome (35253).

The spelling of 321213132 in words is "three hundred twenty-one million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 239 333 444 478 666 717 956 1009 1332 1434 2018 2151 2868 3027 4036 4302 6054 8604 8843 9081 12108 17686 18162 26529 35372 36324 37333 53058 74666 79587 106116 111999 149332 159174 223998 241151 318348 335997 447996 482302 671994 723453 964604 1343988 1446906 2170359 2893812 4340718 8681436 8922587 17845174 26767761 35690348 53535522 80303283 107071044 160606566 321213132