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130330013021 = 1321693455513
BaseRepresentation
bin111100101100001000…
…1100010110101011101
3110110101220220122101022
41321120101202311131
54113403440404041
6135512304253525
712262461555305
oct1713021426535
9413356818338
10130330013021
11502aa99286a
12213133112a5
13c3a0380500
146445252605
1535cbd0024b
hex1e58462d5d

130330013021 has 12 divisors (see below), whose sum is σ = 141210251028. Its totient is φ = 120233303424.

The previous prime is 130330013017. The next prime is 130330013081. The reversal of 130330013021 is 120310033031.

It can be written as a sum of positive squares in 6 ways, for example, as 30733596100 + 99596416921 = 175310^2 + 315589^2 .

It is not a de Polignac number, because 130330013021 - 22 = 130330013017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130330013081) 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 11 ways as a sum of consecutive naturals, for example, 58361 + ... + 513873.

It is an arithmetic number, because the mean of its divisors is an integer number (11767520919).

Almost surely, 2130330013021 is an apocalyptic number.

It is an amenable number.

130330013021 is a deficient number, since it is larger than the sum of its proper divisors (10880238007).

130330013021 is a wasteful number, since it uses less digits than its factorization.

130330013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457232 (or 457219 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 130330013021 its reverse (120310033031), we get a palindrome (250640046052).

The spelling of 130330013021 in words is "one hundred thirty billion, three hundred thirty million, thirteen thousand, twenty-one".

Divisors: 1 13 169 1693 22009 286117 455513 5921669 76981697 771183509 10025385617 130330013021