Search a number
-
+
12241223144201 = 349153281228829
BaseRepresentation
bin1011001000100010000111…
…0000011101001100001001
31121100020201212222111012102
42302020201300131030021
53101030011111103301
642011312411123145
72402253630631262
oct262104160351411
947306655874172
1012241223144201
11399a523378417
121458520a434b5
136aa45b2ca07c
1430469a8a3969
15163650439b6b
hexb2221c1d309

12241223144201 has 8 divisors (see below), whose sum is σ = 12276432021000. Its totient is φ = 12206015032320.

The previous prime is 12241223144179. The next prime is 12241223144239. The reversal of 12241223144201 is 10244132214221.

It can be written as a sum of positive squares in 4 ways, for example, as 4262428639225 + 7978794504976 = 2064565^2 + 2824676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12241223144201 - 226 = 12241156035337 is a prime.

It is a super-2 number, since 2×122412231442012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12241223144261) 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 7 ways as a sum of consecutive naturals, for example, 53380655 + ... + 53609483.

It is an arithmetic number, because the mean of its divisors is an integer number (1534554002625).

Almost surely, 212241223144201 is an apocalyptic number.

It is an amenable number.

12241223144201 is a deficient number, since it is larger than the sum of its proper divisors (35208876799).

12241223144201 is a wasteful number, since it uses less digits than its factorization.

12241223144201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382459.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 12241223144201 its reverse (10244132214221), we get a palindrome (22485355358422).

The spelling of 12241223144201 in words is "twelve trillion, two hundred forty-one billion, two hundred twenty-three million, one hundred forty-four thousand, two hundred one".

Divisors: 1 349 153281 228829 53495069 79861321 35075137949 12241223144201