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130241240032212 = 22323617812223117
BaseRepresentation
bin11101100111010000100110…
…110110001110001111010100
3122002010221101221200200011200
4131213100212312032033110
5114032333024422012322
61140555555533032500
736301422225145521
oct3547204666161724
9562127357620150
10130241240032212
1138553aaa685a81
121273575b925730
13578990882648a
1424239d13dc148
15100cd182eb8ac
hex767426d8e3d4

130241240032212 has 18 divisors (see below), whose sum is σ = 329220912303738. Its totient is φ = 43413746677392.

The previous prime is 130241240032177. The next prime is 130241240032217. The reversal of 130241240032212 is 212230042142031.

130241240032212 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 4 + 12 + 400 + 32 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120770516910096 + 9470723122116 = 10989564^2 + 3077454^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1302412400322122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130241240032217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1808906111523 + ... + 1808906111594.

It is an arithmetic number, because the mean of its divisors is an integer number (18290050683541).

Almost surely, 2130241240032212 is an apocalyptic number.

130241240032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130241240032212 is an abundant number, since it is smaller than the sum of its proper divisors (198979672271526).

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

130241240032212 is a wasteful number, since it uses less digits than its factorization.

130241240032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617812223127 (or 3617812223122 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130241240032212 its reverse (212230042142031), we get a palindrome (342471282174243).

The spelling of 130241240032212 in words is "one hundred thirty trillion, two hundred forty-one billion, two hundred forty million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3617812223117 7235624446234 10853436669351 14471248892468 21706873338702 32560310008053 43413746677404 65120620016106 130241240032212