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130012144041 = 31315712121989
BaseRepresentation
bin111100100010101010…
…0111110000110101001
3110102120202210020010010
41321011110332012221
54112231102102131
6135420551242133
712251551663503
oct1710524760651
9412522706103
10130012144041
115015751412a
1221244979349
13c34c567260
146414d4ad73
1535ade61b46
hex1e4553e1a9

130012144041 has 16 divisors (see below), whose sum is σ = 186803023680. Its totient is φ = 79956507840.

The previous prime is 130012143979. The next prime is 130012144063. The reversal of 130012144041 is 140441210031.

It is not a de Polignac number, because 130012144041 - 26 = 130012143977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130012143999 and 130012144017.

It is not an unprimeable number, because it can be changed into a prime (130012144081) 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 15 ways as a sum of consecutive naturals, for example, 999726 + ... + 1122263.

It is an arithmetic number, because the mean of its divisors is an integer number (11675188980).

Almost surely, 2130012144041 is an apocalyptic number.

It is an amenable number.

130012144041 is a deficient number, since it is larger than the sum of its proper divisors (56790879639).

130012144041 is a wasteful number, since it uses less digits than its factorization.

130012144041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123576.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 130012144041 its reverse (140441210031), we get a palindrome (270453354072).

The spelling of 130012144041 in words is "one hundred thirty billion, twelve million, one hundred forty-four thousand, forty-one".

Divisors: 1 3 13 39 1571 4713 20423 61269 2121989 6365967 27585857 82757571 3333644719 10000934157 43337381347 130012144041