Search a number
-
+
12330132010133 = 7178312347101107
BaseRepresentation
bin1011001101101101010100…
…1000110111010010010101
31121122202020002200211202212
42303123111020313102111
53104004102243311013
642120215012443205
72411552110546040
oct263332510672225
947582202624685
1012330132010133
113a241a808a313
1214717b4319505
136b595a053c92
14308ad28cdc57
15165b05ad26a8
hexb36d5237495

12330132010133 has 32 divisors (see below), whose sum is σ = 15101633240064. Its totient is φ = 9826260809472.

The previous prime is 12330132010117. The next prime is 12330132010151. The reversal of 12330132010133 is 33101023103321.

It is a cyclic number.

It is not a de Polignac number, because 12330132010133 - 24 = 12330132010117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12330132010099 and 12330132010108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330132010153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121900766 + ... + 122001872.

It is an arithmetic number, because the mean of its divisors is an integer number (471926038752).

Almost surely, 212330132010133 is an apocalyptic number.

It is an amenable number.

12330132010133 is a deficient number, since it is larger than the sum of its proper divisors (2771501229931).

12330132010133 is a wasteful number, since it uses less digits than its factorization.

12330132010133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113561.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 12330132010133 its reverse (33101023103321), we get a palindrome (45431155113454).

The spelling of 12330132010133 in words is "twelve trillion, three hundred thirty billion, one hundred thirty-two million, ten thousand, one hundred thirty-three".

Divisors: 1 7 17 83 119 581 1411 9877 12347 86429 101107 209899 707749 1024801 1469293 1718819 7173607 8391881 12031733 17421617 58743167 121951319 142661977 998633839 1248368129 8738576903 21222258193 103614554707 148555807351 725301882949 1761447430019 12330132010133