Search a number
-
+
12130401312333 = 344791783175349
BaseRepresentation
bin1011000010000101010001…
…0000101101111001001101
31120221122200112011010110000
42300201110100231321031
53042221030213443313
641444343542434513
72361251436615453
oct260412420557115
946848615133400
1012130401312333
113957524335917
12143ab52a32a39
1369cb79775125
142dd1864b09d3
15160816106673
hexb085442de4d

12130401312333 has 40 divisors (see below), whose sum is σ = 18168841152000. Its totient is φ = 8065479150432.

The previous prime is 12130401312319. The next prime is 12130401312427. The reversal of 12130401312333 is 33321310403121.

12130401312333 is a `hidden beast` number, since 1 + 2 + 1 + 304 + 0 + 13 + 12 + 333 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12130401312333 is a prime.

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 = 12130401312297 and 12130401312306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130401362333) 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 39 ways as a sum of consecutive naturals, for example, 69090943 + ... + 69266291.

It is an arithmetic number, because the mean of its divisors is an integer number (454221028800).

Almost surely, 212130401312333 is an apocalyptic number.

It is an amenable number.

12130401312333 is a deficient number, since it is larger than the sum of its proper divisors (6038439839667).

12130401312333 is a wasteful number, since it uses less digits than its factorization.

12130401312333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177623 (or 177614 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12130401312333 its reverse (33321310403121), we get a palindrome (45451711715454).

The spelling of 12130401312333 in words is "twelve trillion, one hundred thirty billion, four hundred one million, three hundred twelve thousand, three hundred thirty-three".

Divisors: 1 3 9 27 81 479 1437 1783 4311 5349 12933 16047 38799 48141 144423 175349 526047 854057 1578141 2562171 4734423 7686513 14203269 23059539 69178617 83992171 251976513 312647267 755929539 937941801 2267788617 2813825403 6803365851 8441476209 25324428627 149758040893 449274122679 1347822368037 4043467104111 12130401312333