Base | Representation |
---|---|
bin | 1011111011110111110100… |
… | …0010111100001111101011 |
3 | 1201110120022222100010112000 |
4 | 2332331331002330033223 |
5 | 3210002330042343311 |
6 | 43524420405222043 |
7 | 2523056462050245 |
oct | 276757502741753 |
9 | 51416288303460 |
10 | 13123223012331 |
11 | 41aa5892a5773 |
12 | 157b450a01923 |
13 | 74268c80a873 |
14 | 33524b427095 |
15 | 17b572584056 |
hex | bef7d0bc3eb |
13123223012331 has 32 divisors (see below), whose sum is σ = 20594521972800. Its totient is φ = 8230549501440.
The previous prime is 13123223012309. The next prime is 13123223012359. The reversal of 13123223012331 is 13321032232131.
13123223012331 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 22 + 301 + 2 + 331 = 666.
It is not a de Polignac number, because 13123223012331 - 26 = 13123223012267 is a prime.
It is a super-2 number, since 2×131232230123312 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 13123223012295 and 13123223012304.
It is not an unprimeable number, because it can be changed into a prime (13123223012231) 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 31 ways as a sum of consecutive naturals, for example, 5258860 + ... + 7341801.
It is an arithmetic number, because the mean of its divisors is an integer number (643578811650).
Almost surely, 213123223012331 is an apocalyptic number.
13123223012331 is a deficient number, since it is larger than the sum of its proper divisors (7471298960469).
13123223012331 is a wasteful number, since it uses less digits than its factorization.
13123223012331 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12602956 (or 12602950 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 13123223012331 its reverse (13321032232131), we get a palindrome (26444255244462).
The spelling of 13123223012331 in words is "thirteen trillion, one hundred twenty-three billion, two hundred twenty-three million, twelve thousand, three hundred thirty-one".
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