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131295745 = 5724191279
BaseRepresentation
bin1111101001101…
…10101000000001
3100011001111220101
413310312220001
5232102430440
621010042401
73152665300
oct764665001
9304044811
10131295745
1168127489
1237b79401
13212804b9
141361a437
15b7d769a
hex7d36a01

131295745 has 24 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 89746272.

The previous prime is 131295713. The next prime is 131295751. The reversal of 131295745 is 547592131.

It is not a de Polignac number, because 131295745 - 25 = 131295713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102016 + ... + 103294.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2131295745 is an apocalyptic number.

It is an amenable number.

131295745 is a deficient number, since it is larger than the sum of its proper divisors (52563455).

131295745 is a wasteful number, since it uses less digits than its factorization.

131295745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1710 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The square root of 131295745 is about 11458.4355389381. The cubic root of 131295745 is about 508.2572128845.

The spelling of 131295745 in words is "one hundred thirty-one million, two hundred ninety-five thousand, seven hundred forty-five".

Divisors: 1 5 7 35 49 245 419 1279 2095 2933 6395 8953 14665 20531 44765 62671 102655 313355 535901 2679505 3751307 18756535 26259149 131295745