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130727713 = 312136033
BaseRepresentation
bin1111100101010…
…11111100100001
3100002222122201011
413302223330201
5231431241323
620545540521
73145111234
oct762537441
9302878634
10130727713
1167879736
1237944741
1321111a9c
141350d41b
15b72420d
hex7cabf21

130727713 has 6 divisors (see below), whose sum is σ = 135081762. Its totient is φ = 126509760.

The previous prime is 130727689. The next prime is 130727719. The reversal of 130727713 is 317727031.

It can be written as a sum of positive squares in only one way, i.e., 71622369 + 59105344 = 8463^2 + 7688^2 .

It is a de Polignac number, because none of the positive numbers 2k-130727713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130727719) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67056 + ... + 68977.

It is an arithmetic number, because the mean of its divisors is an integer number (22513627).

Almost surely, 2130727713 is an apocalyptic number.

It is an amenable number.

130727713 is a deficient number, since it is larger than the sum of its proper divisors (4354049).

130727713 is an equidigital number, since it uses as much as digits as its factorization.

130727713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136095 (or 136064 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 31.

The square root of 130727713 is about 11433.6220420303. The cubic root of 130727713 is about 507.5231862703.

The spelling of 130727713 in words is "one hundred thirty million, seven hundred twenty-seven thousand, seven hundred thirteen".

Divisors: 1 31 961 136033 4217023 130727713