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131713000 = 2353131713
BaseRepresentation
bin1111101100111…
…00011111101000
3100011211201021021
413312130133220
5232204304000
621023022224
73156353626
oct766343750
9304751237
10131713000
1168391a21
123813a974
13213983b3
14136c8516
15b86b11a
hex7d9c7e8

131713000 has 32 divisors (see below), whose sum is σ = 308210760. Its totient is φ = 52684800.

The previous prime is 131712953. The next prime is 131713013. The reversal of 131713000 is 317131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51753636 + 79959364 = 7194^2 + 8942^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64857 + ... + 66856.

Almost surely, 2131713000 is an apocalyptic number.

131713000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131713000 is an abundant number, since it is smaller than the sum of its proper divisors (176497760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131713000 is a wasteful number, since it uses less digits than its factorization.

131713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131734 (or 131720 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 131713000 is about 11476.6284247596. The cubic root of 131713000 is about 508.7950536319.

The spelling of 131713000 in words is "one hundred thirty-one million, seven hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 131713 263426 526852 658565 1053704 1317130 2634260 3292825 5268520 6585650 13171300 16464125 26342600 32928250 65856500 131713000