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130123320041 = 11136131347659
BaseRepresentation
bin111100100101111110…
…1000100101011101001
3110102212111222112220202
41321023331010223221
54112443032220131
6135440002201545
712254401654001
oct1711375045351
9412774875822
10130123320041
1150204249320
12212760532b5
13c3695c1980
146425a0b001
1535b8ac2bcb
hex1e4bf44ae9

130123320041 has 32 divisors (see below), whose sum is σ = 155877939840. Its totient is φ = 107058931200.

The previous prime is 130123320037. The next prime is 130123320071. The reversal of 130123320041 is 140023321031.

It is not a de Polignac number, because 130123320041 - 22 = 130123320037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130123319995 and 130123320022.

It is not an unprimeable number, because it can be changed into a prime (130123320011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2706470 + ... + 2754128.

It is an arithmetic number, because the mean of its divisors is an integer number (4871185620).

Almost surely, 2130123320041 is an apocalyptic number.

130123320041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130123320041 is a deficient number, since it is larger than the sum of its proper divisors (25754619799).

130123320041 is a wasteful number, since it uses less digits than its factorization.

130123320041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48057.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130123320041 its reverse (140023321031), we get a palindrome (270146641072).

The spelling of 130123320041 in words is "one hundred thirty billion, one hundred twenty-three million, three hundred twenty thousand, forty-one".

Divisors: 1 11 13 61 143 313 671 793 3443 4069 8723 19093 44759 47659 210023 248209 524249 619567 2730299 2907199 6815237 14917267 31979189 37793587 164089937 193924471 415729457 909953287 2133169181 10009486157 11829392731 130123320041