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131120140 = 22519893877
BaseRepresentation
bin1111101000010…
…11110000001100
3100010201121000111
413310023300030
5232031321030
621002205404
73151334314
oct764136014
9303647014
10131120140
1168017558
1237ab3864
132121b5a8
14135b2444
15b7a062a
hex7d0bc0c

131120140 has 48 divisors (see below), whose sum is σ = 293176800. Its totient is φ = 49116672.

The previous prime is 131120089. The next prime is 131120179. The reversal of 131120140 is 41021131.

It is a super-2 number, since 2×1311201402 = 34384982227239200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131120140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31882 + ... + 35758.

It is an arithmetic number, because the mean of its divisors is an integer number (6107850).

Almost surely, 2131120140 is an apocalyptic number.

131120140 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 131120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146588400).

131120140 is an abundant number, since it is smaller than the sum of its proper divisors (162056660).

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

131120140 is a wasteful number, since it uses less digits than its factorization.

131120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 131120140 is about 11450.7702797672. The cubic root of 131120140 is about 508.0305177277.

Adding to 131120140 its reverse (41021131), we get a palindrome (172141271).

Subtracting from 131120140 its reverse (41021131), we obtain a palindrome (90099009).

The spelling of 131120140 in words is "one hundred thirty-one million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 356 380 445 890 1691 1780 3382 3877 6764 7754 8455 15508 16910 19385 33820 38770 73663 77540 147326 294652 345053 368315 690106 736630 1380212 1473260 1725265 3450530 6556007 6901060 13112014 26224028 32780035 65560070 131120140