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131606783 = 71114911471
BaseRepresentation
bin1111101100000…
…10100011111111
3100011122022120022
413312002203333
5232142404113
621020442355
73155432150
oct766024377
9304568508
10131606783
116831a140
12380a93bb
132135bc49
141369b927
15b849908
hex7d828ff

131606783 has 16 divisors (see below), whose sum is σ = 165196800. Its totient is φ = 101853600.

The previous prime is 131606779. The next prime is 131606801. The reversal of 131606783 is 387606131.

It is a Cunningham number, because it is equal to 114722-1.

It is a cyclic number.

It is not a de Polignac number, because 131606783 - 22 = 131606779 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131606723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5738 + ... + 17208.

It is an arithmetic number, because the mean of its divisors is an integer number (10324800).

Almost surely, 2131606783 is an apocalyptic number.

131606783 is a deficient number, since it is larger than the sum of its proper divisors (33590017).

131606783 is a wasteful number, since it uses less digits than its factorization.

131606783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11638.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 131606783 is about 11471.9999564156. Note that the first 4 decimals coincide. The cubic root of 131606783 is about 508.6582480574.

The spelling of 131606783 in words is "one hundred thirty-one million, six hundred six thousand, seven hundred eighty-three".

Divisors: 1 7 11 77 149 1043 1639 11471 11473 80297 126181 883267 1709179 11964253 18800969 131606783