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131340120140 = 2251729118111279
BaseRepresentation
bin111101001010001111…
…0110011000001001100
3110120000022121101212002
41322110132303001030
54122441032321030
6140200430331432
712326505413105
oct1722436630114
9416008541762
10131340120140
115077908a239
1221555659b78
13c501718c28
1464dd4713ac
15363a82b245
hex1e947b304c

131340120140 has 96 divisors (see below), whose sum is σ = 302391532800. Its totient is φ = 47696015360.

The previous prime is 131340120097. The next prime is 131340120151. The reversal of 131340120140 is 41021043131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11639021 + ... + 11650299.

It is an arithmetic number, because the mean of its divisors is an integer number (3149911800).

Almost surely, 2131340120140 is an apocalyptic number.

131340120140 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 131340120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151195766400).

131340120140 is an abundant number, since it is smaller than the sum of its proper divisors (171051412660).

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

131340120140 is a wasteful number, since it uses less digits than its factorization.

131340120140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12515 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131340120140 its reverse (41021043131), we get a palindrome (172361163271).

The spelling of 131340120140 in words is "one hundred thirty-one billion, three hundred forty million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1181 1972 2362 2465 4724 4930 5905 9860 11279 11810 20077 22558 23620 34249 40154 45116 56395 68498 80308 100385 112790 136996 171245 191743 200770 225580 327091 342490 383486 401540 582233 654182 684980 766972 958715 1164466 1308364 1635455 1917430 2328932 2911165 3270910 3834860 5560547 5822330 6541820 11121094 11644660 13320499 22242188 26640998 27802735 53281996 55605470 66602495 111210940 133204990 226448483 266409980 386294471 452896966 772588942 905793932 1132242415 1545177884 1931472355 2264484830 3862944710 4528969660 6567006007 7725889420 13134012014 26268024028 32835030035 65670060070 131340120140