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131110140 = 22357487641
BaseRepresentation
bin1111101000010…
…01010011111100
3100010201002022010
413310021103330
5232031011030
621002051220
73151263210
oct764112374
9303632263
10131110140
116800aa97
1237aa9b10
1321216b85
14135ac940
15b79c6b0
hex7d094fc

131110140 has 96 divisors (see below), whose sum is σ = 421069824. Its totient is φ = 29859840.

The previous prime is 131110081. The next prime is 131110141. The reversal of 131110140 is 41011131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131110141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204220 + ... + 204860.

It is an arithmetic number, because the mean of its divisors is an integer number (4386144).

Almost surely, 2131110140 is an apocalyptic number.

131110140 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 131110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210534912).

131110140 is an abundant number, since it is smaller than the sum of its proper divisors (289959684).

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

131110140 is a wasteful number, since it uses less digits than its factorization.

131110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 131110140 is about 11450.3336195938. Note that the first 3 decimals coincide. The cubic root of 131110140 is about 508.0176022586.

Adding to 131110140 its reverse (41011131), we get a palindrome (172121271).

Subtracting from 131110140 its reverse (41011131), we obtain a palindrome (90099009).

The spelling of 131110140 in words is "one hundred thirty-one million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 487 641 974 1282 1461 1923 1948 2435 2564 2922 3205 3409 3846 4487 4870 5844 6410 6818 7305 7692 8974 9615 9740 10227 12820 13461 13636 14610 17045 17948 19230 20454 22435 26922 29220 34090 38460 40908 44870 51135 53844 67305 68180 89740 102270 134610 204540 269220 312167 624334 936501 1248668 1560835 1873002 2185169 3121670 3746004 4370338 4682505 6243340 6555507 8740676 9365010 10925845 13111014 18730020 21851690 26222028 32777535 43703380 65555070 131110140