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13321332 = 22323773137
BaseRepresentation
bin110010110100…
…010001110100
3221001210102200
4302310101310
511402240312
61153304500
7221141463
oct62642164
927053380
1013321332
117579572
124565130
1329b555b
141aaa9da
1512820dc
hexcb4474

13321332 has 72 divisors (see below), whose sum is σ = 35313096. Its totient is φ = 4230144.

The previous prime is 13321331. The next prime is 13321339. The reversal of 13321332 is 23312331.

13321332 is a `hidden beast` number, since 1 + 332 + 1 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5503716 + 7817616 = 2346^2 + 2796^2 .

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97168 + ... + 97304.

Almost surely, 213321332 is an apocalyptic number.

13321332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656548).

13321332 is an abundant number, since it is smaller than the sum of its proper divisors (21991764).

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

13321332 is a wasteful number, since it uses less digits than its factorization.

13321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

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

The square root of 13321332 is about 3649.8399964930. The cubic root of 13321332 is about 237.0550531723.

Adding to 13321332 its reverse (23312331), we get a palindrome (36633663).

Subtracting 13321332 from its reverse (23312331), we obtain a palindrome (9990999).

The spelling of 13321332 in words is "thirteen million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 111 137 146 148 219 222 274 292 333 411 438 444 548 657 666 822 876 1233 1314 1332 1644 2466 2628 2701 4932 5069 5402 8103 10001 10138 10804 15207 16206 20002 20276 24309 30003 30414 32412 40004 45621 48618 60006 60828 90009 91242 97236 120012 180018 182484 360036 370037 740074 1110111 1480148 2220222 3330333 4440444 6660666 13321332