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131431041 = 32731173389
BaseRepresentation
bin1111101010101…
…11101010000001
3100011022101111100
413311113222001
5232121243131
621013005013
73154100610
oct765275201
9304271440
10131431041
116820a0a5
1238023769
13212c9c61
1413653877
15b8127e6
hex7d57a81

131431041 has 48 divisors (see below), whose sum is σ = 225838080. Its totient is φ = 72074880.

The previous prime is 131431031. The next prime is 131431057. The reversal of 131431041 is 140134131.

131431041 is a `hidden beast` number, since 1 + 314 + 310 + 41 = 666.

It is not a de Polignac number, because 131431041 - 27 = 131430913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131431031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337675 + ... + 338063.

It is an arithmetic number, because the mean of its divisors is an integer number (4704960).

Almost surely, 2131431041 is an apocalyptic number.

It is an amenable number.

131431041 is a deficient number, since it is larger than the sum of its proper divisors (94407039).

131431041 is a wasteful number, since it uses less digits than its factorization.

131431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131431041 is about 11464.3377916040. The cubic root of 131431041 is about 508.4317338011.

Adding to 131431041 its reverse (140134131), we get a palindrome (271565172).

The spelling of 131431041 in words is "one hundred thirty-one million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 9 21 31 63 93 173 217 279 389 519 651 1167 1211 1557 1953 2723 3501 3633 5363 8169 10899 12059 16089 24507 36177 37541 48267 67297 84413 108531 112623 201891 253239 337869 471079 605673 759717 1413237 2086207 4239711 6258621 14603449 18775863 43810347 131431041