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131345689 = 17191512693
BaseRepresentation
bin1111101010000…
…10110100011001
3100011011001102011
413311002310121
5232111030224
621011105521
73153264016
oct765026431
9304131364
10131345689
1168160a62
1237ba22a1
132129a157
141363070d
15b7e7394
hex7d42d19

131345689 has 16 divisors (see below), whose sum is σ = 147415680. Its totient is φ = 116294400.

The previous prime is 131345657. The next prime is 131345699. The reversal of 131345689 is 986543131.

It is a cyclic number.

It is not a de Polignac number, because 131345689 - 25 = 131345657 is a prime.

Its product of digits (77760) is a multiple of the sum of its prime divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (131345639) 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, 47427 + ... + 50119.

It is an arithmetic number, because the mean of its divisors is an integer number (9213480).

Almost surely, 2131345689 is an apocalyptic number.

131345689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

131345689 is a deficient number, since it is larger than the sum of its proper divisors (16069991).

131345689 is a wasteful number, since it uses less digits than its factorization.

131345689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880.

The product of its digits is 77760, while the sum is 40.

The square root of 131345689 is about 11460.6146868307. The cubic root of 131345689 is about 508.3216505661.

The spelling of 131345689 in words is "one hundred thirty-one million, three hundred forty-five thousand, six hundred eighty-nine".

Divisors: 1 17 19 151 323 2567 2693 2869 45781 48773 51167 406643 869839 6912931 7726217 131345689