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130134140301 = 311191931075391
BaseRepresentation
bin111100100110010011…
…0010110010110001101
3110102220021100021112010
41321030212112112031
54113003314442201
6135441030131433
712254562640644
oct1711446262615
9412807307463
10130134140301
115020a369790
12212797b0b79
13c36b90c9a9
14642722635b
1535b9a0dbd6
hex1e4c99658d

130134140301 has 32 divisors (see below), whose sum is σ = 200281006080. Its totient is φ = 74330956800.

The previous prime is 130134140291. The next prime is 130134140309. The reversal of 130134140301 is 103041431031.

It is not a de Polignac number, because 130134140301 - 213 = 130134132109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130134140309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 416685 + ... + 658706.

It is an arithmetic number, because the mean of its divisors is an integer number (6258781440).

Almost surely, 2130134140301 is an apocalyptic number.

130134140301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130134140301 is a deficient number, since it is larger than the sum of its proper divisors (70146865779).

130134140301 is a wasteful number, since it uses less digits than its factorization.

130134140301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075617.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 130134140301 its reverse (103041431031), we get a palindrome (233175571332).

The spelling of 130134140301 in words is "one hundred thirty billion, one hundred thirty-four million, one hundred forty thousand, three hundred one".

Divisors: 1 3 11 19 33 57 193 209 579 627 2123 3667 6369 11001 40337 121011 1075391 3226173 11829301 20432429 35487903 61297287 207550463 224756719 622651389 674270157 2283055093 3943458797 6849165279 11830376391 43378046767 130134140301