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130668137 = 1715974813
BaseRepresentation
bin1111100100111…
…01011001101001
3100002212121222122
413302131121221
5231422340022
620544401025
73144442445
oct762353151
9302777878
10130668137
11678389a6
1237916175
13210c0932
14134d5825
15b711742
hex7c9d669

130668137 has 8 divisors (see below), whose sum is σ = 138469896. Its totient is φ = 122879232.

The previous prime is 130668121. The next prime is 130668151. The reversal of 130668137 is 731866031.

It can be written as a sum of positive squares in 4 ways, for example, as 31147561 + 99520576 = 5581^2 + 9976^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130668137 - 24 = 130668121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130668097 and 130668106.

It is not an unprimeable number, because it can be changed into a prime (130668737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24743 + ... + 29555.

It is an arithmetic number, because the mean of its divisors is an integer number (17308737).

Almost surely, 2130668137 is an apocalyptic number.

130668137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130668137 is a deficient number, since it is larger than the sum of its proper divisors (7801759).

130668137 is a wasteful number, since it uses less digits than its factorization.

130668137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 130668137 is about 11431.0164464933. The cubic root of 130668137 is about 507.4460774080.

The spelling of 130668137 in words is "one hundred thirty million, six hundred sixty-eight thousand, one hundred thirty-seven".

Divisors: 1 17 1597 4813 27149 81821 7686361 130668137