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130443023133 = 342336911621
BaseRepresentation
bin111100101111100000…
…0101001001100011101
3110110200210120011010000
41321133000221030131
54114121403220013
6135531422404513
712265333254663
oct1713700511435
9413623504100
10130443023133
115035875aa55
1221345130739
13c3ba8ca9b7
14645626cc33
1535d6bc4973
hex1e5f02931d

130443023133 has 20 divisors (see below), whose sum is σ = 195695665308. Its totient is φ = 86588775360.

The previous prime is 130443023093. The next prime is 130443023143. The reversal of 130443023133 is 331320344031.

130443023133 is a `hidden beast` number, since 1 + 3 + 0 + 44 + 302 + 313 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49549424409 + 80893598724 = 222597^2 + 284418^2 .

It is not a de Polignac number, because 130443023133 - 222 = 130438828829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130443023097 and 130443023106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130443023143) 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 19 ways as a sum of consecutive naturals, for example, 3436938 + ... + 3474683.

Almost surely, 2130443023133 is an apocalyptic number.

It is an amenable number.

130443023133 is a deficient number, since it is larger than the sum of its proper divisors (65252642175).

130443023133 is an equidigital number, since it uses as much as digits as its factorization.

130443023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911866 (or 6911857 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 130443023133 its reverse (331320344031), we get a palindrome (461763367164).

The spelling of 130443023133 in words is "one hundred thirty billion, four hundred forty-three million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 233 699 2097 6291 18873 6911621 20734863 62204589 186613767 559841301 1610407693 4831223079 14493669237 43481007711 130443023133