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131329065 = 3572197907
BaseRepresentation
bin1111101001111…
…10110000101001
3100011010012121110
413310332300221
5232110012230
621010500533
73153164400
oct764766051
9304105543
10131329065
116814a51a
1237b94749
132129270a
1413628637
15b7e24b0
hex7d3ec29

131329065 has 48 divisors (see below), whose sum is σ = 245944512. Its totient is φ = 59665536.

The previous prime is 131329043. The next prime is 131329073. The reversal of 131329065 is 560923131.

It is not a de Polignac number, because 131329065 - 26 = 131329001 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144342 + ... + 145248.

It is an arithmetic number, because the mean of its divisors is an integer number (5123844).

Almost surely, 2131329065 is an apocalyptic number.

131329065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131329065 is a deficient number, since it is larger than the sum of its proper divisors (114615447).

131329065 is a wasteful number, since it uses less digits than its factorization.

131329065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 131329065 is about 11459.8893973720. The cubic root of 131329065 is about 508.3002041176.

The spelling of 131329065 in words is "one hundred thirty-one million, three hundred twenty-nine thousand, sixty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 197 245 591 735 907 985 1379 2721 2955 4137 4535 6349 6895 9653 13605 19047 20685 28959 31745 44443 48265 95235 133329 144795 178679 222215 536037 666645 893395 1250753 2680185 3752259 6253765 8755271 18761295 26265813 43776355 131329065