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131249407 = 109211047
BaseRepresentation
bin1111101001010…
…11010011111111
3100010222011100011
413310223103333
5232044440112
621005044051
73152413222
oct764532377
9303864304
10131249407
11680a5693
1237b56627
1321265393
14136075b9
15b7c8aa7
hex7d2b4ff

131249407 has 6 divisors (see below), whose sum is σ = 132476568. Its totient is φ = 130033512.

The previous prime is 131249383. The next prime is 131249429. The reversal of 131249407 is 704942131.

It is not a de Polignac number, because 131249407 - 215 = 131216639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131249467) 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 5 ways as a sum of consecutive naturals, for example, 6358 + ... + 17404.

It is an arithmetic number, because the mean of its divisors is an integer number (22079428).

Almost surely, 2131249407 is an apocalyptic number.

131249407 is a deficient number, since it is larger than the sum of its proper divisors (1227161).

131249407 is an equidigital number, since it uses as much as digits as its factorization.

131249407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265 (or 11156 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 131249407 is about 11456.4133567186. The cubic root of 131249407 is about 508.1974130437.

The spelling of 131249407 in words is "one hundred thirty-one million, two hundred forty-nine thousand, four hundred seven".

Divisors: 1 109 11047 11881 1204123 131249407