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130617441 = 341612561
BaseRepresentation
bin1111100100100…
…01000001100001
3100002210001110000
413302101001201
5231414224231
620543330213
73144141603
oct762210141
9302701400
10130617441
11678038a9
12378b0969
13210a3836
14134c1173
15b7016e6
hex7c91061

130617441 has 10 divisors (see below), whose sum is σ = 195120002. Its totient is φ = 87078240.

The previous prime is 130617439. The next prime is 130617449. The reversal of 130617441 is 144716031.

It is a happy number.

130617441 is a `hidden beast` number, since 1 + 3 + 0 + 617 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125350416 + 5267025 = 11196^2 + 2295^2 .

It is not a de Polignac number, because 130617441 - 21 = 130617439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130617449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 806200 + ... + 806361.

Almost surely, 2130617441 is an apocalyptic number.

It is an amenable number.

130617441 is a deficient number, since it is larger than the sum of its proper divisors (64502561).

130617441 is an equidigital number, since it uses as much as digits as its factorization.

130617441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612573 (or 1612564 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130617441 is about 11428.7987557748. The cubic root of 130617441 is about 507.3804434170.

It can be divided in two parts, 13061 and 7441, that added together give a palindrome (20502).

The spelling of 130617441 in words is "one hundred thirty million, six hundred seventeen thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 1612561 4837683 14513049 43539147 130617441