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131321260 = 225717232399
BaseRepresentation
bin1111101001111…
…00110110101100
3100011002210220101
413310330312230
5232104240020
621010400444
73153132550
oct764746654
9304083811
10131321260
1168144674
1237b90124
132128bcb5
1413625860
15b7e000a
hex7d3cdac

131321260 has 96 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 40516608.

The previous prime is 131321257. The next prime is 131321261. The reversal of 131321260 is 62123131.

It is not an unprimeable number, because it can be changed into a prime (131321261) 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 31 ways as a sum of consecutive naturals, for example, 53541 + ... + 55939.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2131321260 is an apocalyptic number.

131321260 is a gapful number since it is divisible by the number (10) 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 131321260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

131321260 is an abundant number, since it is smaller than the sum of its proper divisors (217043540).

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

131321260 is a wasteful number, since it uses less digits than its factorization.

131321260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 131321260 is about 11459.5488567395. The cubic root of 131321260 is about 508.2901343445.

Adding to 131321260 its reverse (62123131), we get a palindrome (193444391).

The spelling of 131321260 in words is "one hundred thirty-one million, three hundred twenty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1564 1610 1955 2380 2399 2737 3220 3910 4798 5474 7820 9596 10948 11995 13685 16793 23990 27370 33586 40783 47980 54740 55177 67172 81566 83965 110354 163132 167930 203915 220708 275885 285481 335860 386239 407830 551770 570962 772478 815660 938009 1103540 1141924 1427405 1544956 1876018 1931195 2854810 3752036 3862390 4690045 5709620 6566063 7724780 9380090 13132126 18760180 26264252 32830315 65660630 131321260