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131324310 = 2325131071049
BaseRepresentation
bin1111101001111…
…01100110010110
3100011002222002100
413310331212112
5232104334220
621010422530
73153144465
oct764754626
9304088070
10131324310
1168146997
1237b91a46
13212904c0
14136269dc
15b7e0d90
hex7d3d996

131324310 has 96 divisors (see below), whose sum is σ = 371498400. Its totient is φ = 31993344.

The previous prime is 131324309. The next prime is 131324321. The reversal of 131324310 is 13423131.

131324310 is a `hidden beast` number, since 1 + 31 + 324 + 310 = 666.

It is a super-2 number, since 2×1313243102 = 34492148793952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124666 + ... + 125714.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2131324310 is an apocalyptic number.

131324310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131324310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200).

131324310 is an abundant number, since it is smaller than the sum of its proper divisors (240174090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131324310 is a wasteful number, since it uses less digits than its factorization.

131324310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1179 counting only the distinct ones).

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

The square root of 131324310 is about 11459.6819327589. The cubic root of 131324310 is about 508.2940694090.

Adding to 131324310 its reverse (13423131), we get a palindrome (144747441).

The spelling of 131324310 in words is "one hundred thirty-one million, three hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 107 117 130 195 214 234 321 390 535 585 642 963 1049 1070 1170 1391 1605 1926 2098 2782 3147 3210 4173 4815 5245 6294 6955 8346 9441 9630 10490 12519 13637 13910 15735 18882 20865 25038 27274 31470 40911 41730 47205 62595 68185 81822 94410 112243 122733 125190 136370 204555 224486 245466 336729 409110 561215 613665 673458 1010187 1122430 1227330 1459159 1683645 2020374 2918318 3367290 4377477 5050935 7295795 8754954 10101870 13132431 14591590 21887385 26264862 43774770 65662155 131324310