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132123133 = 1743612963
BaseRepresentation
bin1111110000000…
…00100111111101
3100012121112212101
413320000213331
5232310420013
621035505101
73163012432
oct770004775
9305545771
10132123133
116864207a
12382b8191
13214acc8c
1413793b89
15b8ec8dd
hex7e009fd

132123133 has 16 divisors (see below), whose sum is σ = 145544256. Its totient is φ = 119427840.

The previous prime is 132123113. The next prime is 132123143. The reversal of 132123133 is 331321231.

It is a cyclic number.

It is not a de Polignac number, because 132123133 - 221 = 130025981 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132123133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132123113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43110 + ... + 46072.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2132123133 is an apocalyptic number.

It is an amenable number.

132123133 is a deficient number, since it is larger than the sum of its proper divisors (13421123).

132123133 is a wasteful number, since it uses less digits than its factorization.

132123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084.

The product of its digits is 324, while the sum is 19.

The square root of 132123133 is about 11494.4827199835. The cubic root of 132123133 is about 509.3226082991.

Adding to 132123133 its reverse (331321231), we get a palindrome (463444364).

The spelling of 132123133 in words is "one hundred thirty-two million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 17 43 61 731 1037 2623 2963 44591 50371 127409 180743 2165953 3072631 7771949 132123133