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132123321 = 32111970241
BaseRepresentation
bin1111110000000…
…00101010111001
3100012121120010100
413320000222321
5232310421241
621035510013
73163013121
oct770005271
9305546110
10132123321
1168642230
12382b8309
13214b00a5
1413793c81
15b8ec9b6
hex7e00ab9

132123321 has 24 divisors (see below), whose sum is σ = 219155040. Its totient is φ = 75859200.

The previous prime is 132123287. The next prime is 132123367. The reversal of 132123321 is 123321231.

132123321 is a `hidden beast` number, since 1 + 321 + 23 + 321 = 666.

It is not a de Polignac number, because 132123321 - 214 = 132106937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132123294 and 132123303.

It is not an unprimeable number, because it can be changed into a prime (132123221) 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 23 ways as a sum of consecutive naturals, for example, 33240 + ... + 37001.

It is an arithmetic number, because the mean of its divisors is an integer number (9131460).

Almost surely, 2132123321 is an apocalyptic number.

132123321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132123321 is a deficient number, since it is larger than the sum of its proper divisors (87031719).

132123321 is a wasteful number, since it uses less digits than its factorization.

132123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70277 (or 70274 counting only the distinct ones).

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

The square root of 132123321 is about 11494.4908978171. The cubic root of 132123321 is about 509.3228498732.

Adding to 132123321 its reverse (123321231), we get a palindrome (255444552).

It can be divided in two parts, 1321 and 23321, that added together give a palindrome (24642).

The spelling of 132123321 in words is "one hundred thirty-two million, one hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 70241 210723 632169 772651 1334579 2317953 4003737 6953859 12011211 14680369 44041107 132123321