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131320665 = 325717137179
BaseRepresentation
bin1111101001111…
…00101101011001
3100011002210002100
413310330231121
5232104230130
621010354013
73153131040
oct764745531
9304083070
10131320665
1168144183
1237b8b909
132128b948
1413625557
15b7dec60
hex7d3cb59

131320665 has 96 divisors (see below), whose sum is σ = 279002880. Its totient is φ = 55775232.

The previous prime is 131320633. The next prime is 131320669. The reversal of 131320665 is 566023131.

It is not a de Polignac number, because 131320665 - 25 = 131320633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131320669) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 733546 + ... + 733724.

It is an arithmetic number, because the mean of its divisors is an integer number (2906280).

Almost surely, 2131320665 is an apocalyptic number.

131320665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131320665 is an abundant number, since it is smaller than the sum of its proper divisors (147682215).

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

131320665 is a wasteful number, since it uses less digits than its factorization.

131320665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 131320665 is about 11459.5228958277. The cubic root of 131320665 is about 508.2893666772.

Adding to 131320665 its reverse (566023131), we get a palindrome (697343796).

The spelling of 131320665 in words is "one hundred thirty-one million, three hundred twenty thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 137 153 179 255 315 357 411 537 595 685 765 895 959 1071 1233 1253 1611 1785 2055 2329 2685 2877 3043 3759 4795 5355 6165 6265 6987 8055 8631 9129 11277 11645 14385 15215 16303 18795 20961 21301 24523 27387 34935 43155 45645 48909 56385 63903 73569 81515 104805 106505 122615 136935 146727 171661 191709 220707 244545 319515 367845 416891 514983 733635 858305 958545 1103535 1250673 1544949 2084455 2574915 2918237 3752019 6253365 7724745 8754711 14591185 18760095 26264133 43773555 131320665