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130171761 = 32411811949
BaseRepresentation
bin1111100001001…
…00001101110001
3100001221102002100
413300210031301
5231310444021
620530011013
73140304336
oct760441561
9301842070
10130171761
1167529a75
1237716a69
1320c78a15
141340698d
15b664626
hex7c24371

130171761 has 24 divisors (see below), whose sum is σ = 193775400. Its totient is φ = 84153600.

The previous prime is 130171753. The next prime is 130171781. The reversal of 130171761 is 167171031.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 129618225 = 744^2 + 11385^2 .

It is not a de Polignac number, because 130171761 - 23 = 130171753 is a prime.

It is a super-2 number, since 2×1301717612 = 33889374723682242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130171711) by changing a digit.

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, 65815 + ... + 67763.

It is an arithmetic number, because the mean of its divisors is an integer number (8073975).

Almost surely, 2130171761 is an apocalyptic number.

It is an amenable number.

130171761 is a deficient number, since it is larger than the sum of its proper divisors (63603639).

130171761 is a wasteful number, since it uses less digits than its factorization.

130171761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 130171761 is about 11409.2839827923. The cubic root of 130171761 is about 506.8027079195.

The spelling of 130171761 in words is "one hundred thirty million, one hundred seventy-one thousand, seven hundred sixty-one".

Divisors: 1 3 9 41 123 181 369 543 1629 1949 5847 7421 17541 22263 66789 79909 239727 352769 719181 1058307 3174921 14463529 43390587 130171761