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131320644 = 223713532269
BaseRepresentation
bin1111101001111…
…00101101000100
3100011002210001120
413310330231010
5232104230034
621010353540
73153131010
oct764745504
9304083046
10131320644
1168144164
1237b8b8b0
132128b930
1413625540
15b7dec49
hex7d3cb44

131320644 has 96 divisors (see below), whose sum is σ = 384410880. Its totient is φ = 33965568.

The previous prime is 131320633. The next prime is 131320669. The reversal of 131320644 is 446023131.

It is a super-2 number, since 2×1313206442 = 34490223081149472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56742 + ... + 59010.

It is an arithmetic number, because the mean of its divisors is an integer number (4004280).

Almost surely, 2131320644 is an apocalyptic number.

131320644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131320644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192205440).

131320644 is an abundant number, since it is smaller than the sum of its proper divisors (253090236).

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

131320644 is a wasteful number, since it uses less digits than its factorization.

131320644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 131320644 is about 11459.5219795592. The cubic root of 131320644 is about 508.2893395830.

Adding to 131320644 its reverse (446023131), we get a palindrome (577343775).

The spelling of 131320644 in words is "one hundred thirty-one million, three hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 53 78 84 91 106 156 159 182 212 273 318 364 371 546 636 689 742 1092 1113 1378 1484 2067 2226 2269 2756 4134 4452 4538 4823 6807 8268 9076 9646 13614 14469 15883 19292 27228 28938 29497 31766 47649 57876 58994 63532 88491 95298 117988 120257 176982 190596 206479 240514 353964 360771 412958 481028 619437 721542 825916 841799 1238874 1443084 1563341 1683598 2477748 2525397 3126682 3367196 4690023 5050794 6253364 9380046 10101588 10943387 18760092 21886774 32830161 43773548 65660322 131320644