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131330241 = 347329163
BaseRepresentation
bin1111101001111…
…11000011000001
3100011010021020000
413310333003001
5232110031431
621010510213
73153201000
oct764770301
9304107200
10131330241
1168150399
1237b95369
1321293103
1413628c37
15b7e29e6
hex7d3f0c1

131330241 has 80 divisors (see below), whose sum is σ = 238128000. Its totient is φ = 72013536.

The previous prime is 131330201. The next prime is 131330273. The reversal of 131330241 is 142033131.

It is not a de Polignac number, because 131330241 - 27 = 131330113 is a prime.

It is a super-2 number, since 2×1313302412 = 34495264402236162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131330201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 805626 + ... + 805788.

It is an arithmetic number, because the mean of its divisors is an integer number (2976600).

Almost surely, 2131330241 is an apocalyptic number.

It is an amenable number.

131330241 is a deficient number, since it is larger than the sum of its proper divisors (106797759).

131330241 is an equidigital number, since it uses as much as digits as its factorization.

131330241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

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

The square root of 131330241 is about 11459.9407066529. The cubic root of 131330241 is about 508.3017213224.

Adding to 131330241 its reverse (142033131), we get a palindrome (273363372).

The spelling of 131330241 in words is "one hundred thirty-one million, three hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 29 49 63 81 87 147 163 189 203 261 343 441 489 567 609 783 1029 1141 1323 1421 1467 1827 2349 3087 3423 3969 4263 4401 4727 5481 7987 9261 9947 10269 12789 13203 14181 16443 23961 27783 29841 30807 33089 38367 42543 55909 71883 89523 92421 99267 115101 127629 167727 215649 231623 268569 297801 382887 503181 646947 694869 805707 893403 1509543 1621361 2084607 2680209 4528629 4864083 6253821 14592249 18761463 43776747 131330241