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131005471 is a prime number
BaseRepresentation
bin1111100111011…
…11110000011111
3100010111202201111
413303233300133
5232014133341
620555522451
73150346102
oct763576037
9303452644
10131005471
1167a49393
1237a59427
13211ab33c
1413582739
15b77b681
hex7cefc1f

131005471 has 2 divisors, whose sum is σ = 131005472. Its totient is φ = 131005470.

The previous prime is 131005439. The next prime is 131005487. The reversal of 131005471 is 174500131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131005471 - 25 = 131005439 is a prime.

It is a super-3 number, since 3×1310054713 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131002471) 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 as a sum of consecutive naturals, namely, 65502735 + 65502736.

It is an arithmetic number, because the mean of its divisors is an integer number (65502736).

Almost surely, 2131005471 is an apocalyptic number.

131005471 is a deficient number, since it is larger than the sum of its proper divisors (1).

131005471 is an equidigital number, since it uses as much as digits as its factorization.

131005471 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 131005471 is about 11445.7621415090. The cubic root of 131005471 is about 507.8823779077.

The spelling of 131005471 in words is "one hundred thirty-one million, five thousand, four hundred seventy-one".