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101332 = 22721147
BaseRepresentation
bin11000101111010100
312011000001
4120233110
511220312
62101044
7601300
oct305724
9164001
10101332
116a150
124a784
133717a
1428d00
1520057
hex18bd4

101332 has 36 divisors (see below), whose sum is σ = 229824. Its totient is φ = 38640.

The previous prime is 101323. The next prime is 101333. The reversal of 101332 is 233101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2133 + ... + 2179.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2101332 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 101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

101332 is an abundant number, since it is smaller than the sum of its proper divisors (128492).

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

101332 is a wasteful number, since it uses less digits than its factorization.

101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 101332 is about 318.3268760253. The cubic root of 101332 is about 46.6210665677.

Adding to 101332 its reverse (233101), we get a palindrome (334433).

Subtracting 101332 from its reverse (233101), we obtain a square (131769 = 3632).

The spelling of 101332 in words is "one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 47 49 77 94 98 154 188 196 308 329 517 539 658 1034 1078 1316 2068 2156 2303 3619 4606 7238 9212 14476 25333 50666 101332