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131338605 = 3523337579
BaseRepresentation
bin1111101010000…
…01000101101101
3100011010200200210
413311001011231
5232110313410
621011013033
73153234246
oct765010555
9304120623
10131338605
1168156702
1237b9a179
1321296b68
141362bccd
15b7e5220
hex7d4116d

131338605 has 16 divisors (see below), whose sum is σ = 211049280. Its totient is φ = 69744768.

The previous prime is 131338589. The next prime is 131338609. The reversal of 131338605 is 506833131.

It is not a de Polignac number, because 131338605 - 24 = 131338589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131338609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15295 + ... + 22284.

It is an arithmetic number, because the mean of its divisors is an integer number (13190580).

Almost surely, 2131338605 is an apocalyptic number.

131338605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131338605 is a deficient number, since it is larger than the sum of its proper divisors (79710675).

131338605 is a wasteful number, since it uses less digits than its factorization.

131338605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37820.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 131338605 is about 11460.3056241969. The cubic root of 131338605 is about 508.3125117931.

The spelling of 131338605 in words is "one hundred thirty-one million, three hundred thirty-eight thousand, six hundred five".

Divisors: 1 3 5 15 233 699 1165 3495 37579 112737 187895 563685 8755907 26267721 43779535 131338605