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130010123033 = 723771709941
BaseRepresentation
bin111100100010100110…
…1010000101100011001
3110102120121222112210222
41321011031100230121
54112230042414113
6135420440045425
712251525545400
oct1710515205431
9412517875728
10130010123033
115015636377a
1221244163875
13c34c00a3ab
146414982637
1535adbb2e08
hex1e45350b19

130010123033 has 12 divisors (see below), whose sum is σ = 155323734372. Its totient is φ = 108425429280.

The previous prime is 130010123029. The next prime is 130010123063. The reversal of 130010123033 is 330321010031.

It can be written as a sum of positive squares in 2 ways, for example, as 121014928384 + 8995194649 = 347872^2 + 94843^2 .

It is not a de Polignac number, because 130010123033 - 22 = 130010123029 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130010123063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35853158 + ... + 35856783.

It is an arithmetic number, because the mean of its divisors is an integer number (12943644531).

Almost surely, 2130010123033 is an apocalyptic number.

It is an amenable number.

130010123033 is a deficient number, since it is larger than the sum of its proper divisors (25313611339).

130010123033 is an equidigital number, since it uses as much as digits as its factorization.

130010123033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71709992 (or 71709985 counting only the distinct ones).

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

Adding to 130010123033 its reverse (330321010031), we get a palindrome (460331133064).

The spelling of 130010123033 in words is "one hundred thirty billion, ten million, one hundred twenty-three thousand, thirty-three".

Divisors: 1 7 37 49 259 1813 71709941 501969587 2653267817 3513787109 18572874719 130010123033