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131577741 = 3277318913
BaseRepresentation
bin1111101011110…
…11011110001101
3100011120211201200
413311323132031
5232140441431
621020100113
73155251401
oct765733615
9304524650
10131577741
11682aa339
1238094639
132134b969
1413691101
15b840ee6
hex7d7b78d

131577741 has 12 divisors (see below), whose sum is σ = 190312668. Its totient is φ = 87600384.

The previous prime is 131577731. The next prime is 131577751. The reversal of 131577741 is 147775131.

131577741 is a `hidden beast` number, since 13 + 1 + 577 + 74 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131577731) and next prime (131577751).

It can be written as a sum of positive squares in 2 ways, for example, as 71064900 + 60512841 = 8430^2 + 7779^2 .

It is not a de Polignac number, because 131577741 - 219 = 131053453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131577696 and 131577705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131577731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2500 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (15859389).

Almost surely, 2131577741 is an apocalyptic number.

It is an amenable number.

131577741 is a deficient number, since it is larger than the sum of its proper divisors (58734927).

131577741 is a wasteful number, since it uses less digits than its factorization.

131577741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19692 (or 19689 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 131577741 is about 11470.7341090272. The cubic root of 131577741 is about 508.6208296730.

The spelling of 131577741 in words is "one hundred thirty-one million, five hundred seventy-seven thousand, seven hundred forty-one".

Divisors: 1 3 9 773 2319 6957 18913 56739 170217 14619749 43859247 131577741