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132123303 = 321317181367
BaseRepresentation
bin1111110000000…
…00101010100111
3100012121120002200
413320000222213
5232310421203
621035505543
73163013064
oct770005247
9305546080
10132123303
1168642214
12382b82b3
13214b0090
1413793c6b
15b8ec9a3
hex7e00aa7

132123303 has 48 divisors (see below), whose sum is σ = 219413376. Its totient is φ = 75893760.

The previous prime is 132123287. The next prime is 132123367. The reversal of 132123303 is 303321231.

It is not a de Polignac number, because 132123303 - 24 = 132123287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123703) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 359826 + ... + 360192.

It is an arithmetic number, because the mean of its divisors is an integer number (4571112).

Almost surely, 2132123303 is an apocalyptic number.

132123303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132123303 is a deficient number, since it is larger than the sum of its proper divisors (87290073).

132123303 is a wasteful number, since it uses less digits than its factorization.

132123303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

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

The square root of 132123303 is about 11494.4901148333. The cubic root of 132123303 is about 509.3228267438.

Adding to 132123303 its reverse (303321231), we get a palindrome (435444534).

It can be divided in two parts, 13212 and 3303, that multiplied together give a square (43639236 = 66062).

The spelling of 132123303 in words is "one hundred thirty-two million, one hundred twenty-three thousand, three hundred three".

Divisors: 1 3 9 13 17 39 51 117 153 181 221 367 543 663 1101 1629 1989 2353 3077 3303 4771 6239 7059 9231 14313 18717 21177 27693 40001 42939 56151 66427 81107 120003 199281 243321 360009 597843 729963 863551 1129259 2590653 3387777 7771959 10163331 14680367 44041101 132123303