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12230310230001 = 341934273183089
BaseRepresentation
bin1011000111111001011101…
…0010111111011111110001
31121022012120100102000020000
42301332113102333133301
53100340133404330001
642002305453340213
72401416326453013
oct261762722773761
947265510360200
1012230310230001
113995933310466
121456396197669
136a940c4440a6
14303d433c21b3
1516321234da86
hexb1f974bf7f1

12230310230001 has 40 divisors (see below), whose sum is σ = 18369030816840. Its totient is φ = 8109351272448.

The previous prime is 12230310229967. The next prime is 12230310230003. The reversal of 12230310230001 is 10003201303221.

12230310230001 is a `hidden beast` number, since 1 + 22 + 30 + 310 + 2 + 300 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 958521600 + 12229351708401 = 30960^2 + 3497049^2 .

It is not a de Polignac number, because 12230310230001 - 27 = 12230310229873 is a prime.

It is a super-2 number, since 2×122303102300012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12230310230003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66708265 + ... + 66891353.

It is an arithmetic number, because the mean of its divisors is an integer number (459225770421).

Almost surely, 212230310230001 is an apocalyptic number.

It is an amenable number.

12230310230001 is a deficient number, since it is larger than the sum of its proper divisors (6138720586839).

12230310230001 is a wasteful number, since it uses less digits than its factorization.

12230310230001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187567 (or 187558 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12230310230001 its reverse (10003201303221), we get a palindrome (22233511533222).

The spelling of 12230310230001 in words is "twelve trillion, two hundred thirty billion, three hundred ten million, two hundred thirty thousand, one".

Divisors: 1 3 9 27 81 193 579 1737 4273 5211 12819 15633 38457 115371 183089 346113 549267 824689 1647801 2474067 4943403 7422201 14830209 22266603 35336177 66799809 106008531 318025593 782339297 954076779 2347017891 2862230337 7041053673 21123161019 63369483057 150991484321 452974452963 1358923358889 4076770076667 12230310230001