Search a number
-
+
131303340 = 223257214887
BaseRepresentation
bin1111101001110…
…00011110101100
3100011001220022200
413310320132230
5232103201330
621010141500
73153026400
oct764703654
9304056280
10131303340
1168132163
1237b81890
1321283aac
141361d100
15b7d9a60
hex7d387ac

131303340 has 108 divisors (see below), whose sum is σ = 463344336. Its totient is φ = 30010176.

The previous prime is 131303327. The next prime is 131303363. The reversal of 131303340 is 43303131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1377 + ... + 16263.

Almost surely, 2131303340 is an apocalyptic number.

131303340 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 131303340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231672168).

131303340 is an abundant number, since it is smaller than the sum of its proper divisors (332040996).

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

131303340 is a wasteful number, since it uses less digits than its factorization.

131303340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916 (or 14904 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131303340 is about 11458.7669493711. The cubic root of 131303340 is about 508.2670129967.

Adding to 131303340 its reverse (43303131), we get a palindrome (174606471).

The spelling of 131303340 in words is "one hundred thirty-one million, three hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 14887 29774 44661 59548 74435 89322 104209 133983 148870 178644 208418 223305 267966 297740 312627 416836 446610 521045 535932 625254 669915 729463 893220 937881 1042090 1250508 1339830 1458926 1563135 1875762 2084180 2188389 2679660 2917852 3126270 3647315 3751524 4376778 4689405 6252540 6565167 7294630 8753556 9378810 10941945 13130334 14589260 18757620 21883890 26260668 32825835 43767780 65651670 131303340