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130133113146 = 2327229617397
BaseRepresentation
bin111100100110010001…
…0011011100100111010
3110102220012102002112100
41321030202123210322
54113003034110041
6135440552124230
712254551132221
oct1711442334472
9412805362470
10130133113146
1150209827aa3
1221279396676
13c36b6402ca
146427039cb8
1535b98a96b6
hex1e4c89b93a

130133113146 has 12 divisors (see below), whose sum is σ = 281955078522. Its totient is φ = 43377704376.

The previous prime is 130133113111. The next prime is 130133113181. The reversal of 130133113146 is 641311331031.

130133113146 is a `hidden beast` number, since 1 + 30 + 1 + 3 + 311 + 314 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (130133113111) and next prime (130133113181).

It can be written as a sum of positive squares in only one way, i.e., 83832832521 + 46300280625 = 289539^2 + 215175^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3614808681 + ... + 3614808716.

Almost surely, 2130133113146 is an apocalyptic number.

130133113146 is an abundant number, since it is smaller than the sum of its proper divisors (151821965376).

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

130133113146 is a wasteful number, since it uses less digits than its factorization.

130133113146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229617405 (or 7229617402 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 130133113146 its reverse (641311331031), we get a palindrome (771444444177).

The spelling of 130133113146 in words is "one hundred thirty billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 7229617397 14459234794 21688852191 43377704382 65066556573 130133113146