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131942727 = 3273167559
BaseRepresentation
bin1111101110101…
…00100101000111
3100012021101101200
413313110211013
5232234131402
621031553543
73161331450
oct767244507
9305241350
10131942727
1168529584
123822b8b3
1321448b27
1413748127
15b8b421c
hex7dd4947

131942727 has 24 divisors (see below), whose sum is σ = 224839680. Its totient is φ = 72962640.

The previous prime is 131942689. The next prime is 131942737. The reversal of 131942727 is 727249131.

It is not a de Polignac number, because 131942727 - 210 = 131941703 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131942691 and 131942700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131942737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31827 + ... + 35732.

It is an arithmetic number, because the mean of its divisors is an integer number (9368320).

Almost surely, 2131942727 is an apocalyptic number.

131942727 is a deficient number, since it is larger than the sum of its proper divisors (92896953).

131942727 is a wasteful number, since it uses less digits than its factorization.

131942727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67603 (or 67600 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 131942727 is about 11486.6325352559. The cubic root of 131942727 is about 509.0906864921.

The spelling of 131942727 in words is "one hundred thirty-one million, nine hundred forty-two thousand, seven hundred twenty-seven".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 67559 202677 472913 608031 1418739 2094329 4256217 6282987 14660303 18848961 43980909 131942727