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131199741 = 32297092
BaseRepresentation
bin1111101000111…
…11001011111101
3100010212122012200
413310133023331
5232041342431
621004022113
73152115351
oct764371375
9303778180
10131199741
1168071342
1237b31939
13212488aa
14135d3461
15b7b8ee6
hex7d1f2fd

131199741 has 18 divisors (see below), whose sum is σ = 196322490. Its totient is φ = 84331296.

The previous prime is 131199671. The next prime is 131199787. The reversal of 131199741 is 147991131.

It can be written as a sum of positive squares in 3 ways, for example, as 5625 + 131194116 = 75^2 + 11454^2 .

It is not a de Polignac number, because 131199741 - 213 = 131191549 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131199696 and 131199705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131199941) 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 17 ways as a sum of consecutive naturals, for example, 184695 + ... + 185403.

It is an arithmetic number, because the mean of its divisors is an integer number (10906805).

Almost surely, 2131199741 is an apocalyptic number.

It is an amenable number.

131199741 is a deficient number, since it is larger than the sum of its proper divisors (65122749).

131199741 is an frugal number, since it uses more digits than its factorization.

131199741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 741 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 131199741 is about 11454.2455447751. The cubic root of 131199741 is about 508.1333027424.

The spelling of 131199741 in words is "one hundred thirty-one million, one hundred ninety-nine thousand, seven hundred forty-one".

Divisors: 1 3 9 29 87 261 709 2127 6381 20561 61683 185049 502681 1508043 4524129 14577749 43733247 131199741