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131542112 = 25131811747
BaseRepresentation
bin1111101011100…
…10110001100000
3100011112000212002
413311302301200
5232133321422
621015223132
73155042462
oct765626140
9304460762
10131542112
1168285599
1238077aa8
1321338690
1413682132
15b835692
hex7d72c60

131542112 has 48 divisors (see below), whose sum is σ = 280595952. Its totient is φ = 60341760.

The previous prime is 131542087. The next prime is 131542121. The reversal of 131542112 is 211245131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74423 + ... + 76169.

It is an arithmetic number, because the mean of its divisors is an integer number (5845749).

Almost surely, 2131542112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140297976).

131542112 is an abundant number, since it is smaller than the sum of its proper divisors (149053840).

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

131542112 is a wasteful number, since it uses less digits than its factorization.

131542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1943 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 131542112 is about 11469.1809646548. The cubic root of 131542112 is about 508.5749169238.

Adding to 131542112 its reverse (211245131), we get a palindrome (342787243).

The spelling of 131542112 in words is "one hundred thirty-one million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 181 208 362 416 724 1448 1747 2353 2896 3494 4706 5792 6988 9412 13976 18824 22711 27952 37648 45422 55904 75296 90844 181688 316207 363376 632414 726752 1264828 2529656 4110691 5059312 8221382 10118624 16442764 32885528 65771056 131542112