Search a number
-
+
12232123200101 = 721132209160773
BaseRepresentation
bin1011001000000000001101…
…0110111011001001100101
31121022101020200211102122202
42302000003112323021211
53100402342014400401
642003205415504245
72401512262450100
oct262000326731145
947271220742582
1012232123200101
113996683723762
121456801388085
136a963ac2586c
143040760b3737
151632bb5ba06b
hexb20035bb265

12232123200101 has 12 divisors (see below), whose sum is σ = 14355126709452. Its totient is φ = 10391892271488.

The previous prime is 12232123200049. The next prime is 12232123200131. The reversal of 12232123200101 is 10100232123221.

It can be written as a sum of positive squares in 2 ways, for example, as 5449301971876 + 6782821228225 = 2334374^2 + 2604385^2 .

It is a de Polignac number, because none of the positive numbers 2k-12232123200101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232123200131) 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 11 ways as a sum of consecutive naturals, for example, 1104574850 + ... + 1104585923.

It is an arithmetic number, because the mean of its divisors is an integer number (1196260559121).

Almost surely, 212232123200101 is an apocalyptic number.

It is an amenable number.

12232123200101 is a deficient number, since it is larger than the sum of its proper divisors (2123003509351).

12232123200101 is a wasteful number, since it uses less digits than its factorization.

12232123200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209160900 (or 2209160893 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12232123200101 its reverse (10100232123221), we get a palindrome (22332355323322).

The spelling of 12232123200101 in words is "twelve trillion, two hundred thirty-two billion, one hundred twenty-three million, two hundred thousand, one hundred one".

Divisors: 1 7 49 113 791 5537 2209160773 15464125411 108248877877 249635167349 1747446171443 12232123200101