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131310140 = 225131921399
BaseRepresentation
bin1111101001110…
…10001000111100
3100011002020122112
413310322020330
5232103411030
621010233152
73153055253
oct764721074
9304066575
10131310140
1168137285
1237b857b8
1321286c10
141362179a
15b7dba95
hex7d3a23c

131310140 has 72 divisors (see below), whose sum is σ = 313639200. Its totient is φ = 45899136.

The previous prime is 131310119. The next prime is 131310187. The reversal of 131310140 is 41013131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93161 + ... + 94559.

It is an arithmetic number, because the mean of its divisors is an integer number (4356100).

Almost surely, 2131310140 is an apocalyptic number.

131310140 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 131310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156819600).

131310140 is an abundant number, since it is smaller than the sum of its proper divisors (182329060).

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

131310140 is a wasteful number, since it uses less digits than its factorization.

131310140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131310140 is about 11459.0636615738. The cubic root of 131310140 is about 508.2757869701.

Adding to 131310140 its reverse (41013131), we get a palindrome (172323271).

The spelling of 131310140 in words is "one hundred thirty-one million, three hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1399 1444 1805 2470 2798 3610 4693 4940 5596 6995 7220 9386 13990 18187 18772 23465 26581 27980 36374 46930 53162 72748 90935 93860 106324 132905 181870 265810 345553 363740 505039 531620 691106 1010078 1382212 1727765 2020156 2525195 3455530 5050390 6565507 6911060 10100780 13131014 26262028 32827535 65655070 131310140