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131571712 = 21316061
BaseRepresentation
bin1111101011110…
…10000000000000
3100011120112110101
413311322000000
5232140243322
621020012144
73155224666
oct765720000
9304515411
10131571712
11682a5858
1238091054
1321348cac
141368cc36
15b83e327
hex7d7a000

131571712 has 28 divisors (see below), whose sum is σ = 263143746. Its totient is φ = 65781760.

The previous prime is 131571689. The next prime is 131571731. The reversal of 131571712 is 217175131.

It can be written as a sum of positive squares in only one way, i.e., 131239936 + 331776 = 11456^2 + 576^2 .

It is a super-2 number, since 2×1315717122 = 34622230797221888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 162 + ... + 16222.

Almost surely, 2131571712 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 131571712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131571873).

131571712 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

131571712 is an frugal number, since it uses more digits than its factorization.

131571712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16087 (or 16063 counting only the distinct ones).

The product of its digits is 1470, while the sum is 28.

The square root of 131571712 is about 11470.4713067947. The cubic root of 131571712 is about 508.6130610798.

The spelling of 131571712 in words is "one hundred thirty-one million, five hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16061 32122 64244 128488 256976 513952 1027904 2055808 4111616 8223232 16446464 32892928 65785856 131571712