Base | Representation |
---|---|
bin | 1100000110110111100001… |
… | …1000000001000111000111 |
3 | 1202010121220202101112210000 |
4 | 3001231320120001013013 |
5 | 3221101212020242411 |
6 | 44151301024132343 |
7 | 2542524552211104 |
oct | 301557030010707 |
9 | 52117822345700 |
10 | 13312123212231 |
11 | 4272704563858 |
12 | 15abb8b1670b3 |
13 | 75743532b88c |
14 | 34044b299aab |
15 | 18142b303956 |
hex | c1b786011c7 |
13312123212231 has 80 divisors (see below), whose sum is σ = 20060056922400. Its totient is φ = 8797534986240.
The previous prime is 13312123212217. The next prime is 13312123212239. The reversal of 13312123212231 is 13221232121331.
13312123212231 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 212 + 3 + 212 + 231 = 666.
It is not a de Polignac number, because 13312123212231 - 27 = 13312123212103 is a prime.
It is a super-2 number, since 2×133121232122312 (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 = 13312123212195 and 13312123212204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13312123212239) 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 79 ways as a sum of consecutive naturals, for example, 3767935741 + ... + 3767939273.
It is an arithmetic number, because the mean of its divisors is an integer number (250750711530).
Almost surely, 213312123212231 is an apocalyptic number.
13312123212231 is a deficient number, since it is larger than the sum of its proper divisors (6747933710169).
13312123212231 is a wasteful number, since it uses less digits than its factorization.
13312123212231 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4638 (or 4629 counting only the distinct ones).
The product of its digits is 2592, while the sum is 27.
Adding to 13312123212231 its reverse (13221232121331), we get a palindrome (26533355333562).
The spelling of 13312123212231 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty-three million, two hundred twelve thousand, two hundred thirty-one".
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