Search a number
-
+
12130322002064 = 2473110093462593
BaseRepresentation
bin1011000010000100111110…
…0010001011000010010000
31120221122110222220202012122
42300201033202023002100
53042220344413031224
641444332030513412
72361246454524260
oct260411742130220
946848428822178
1012130322002064
113957493595942
12143ab30365868
1369cb661c6986
142dd179b477a0
1516080e18c15e
hexb084f88b090

12130322002064 has 80 divisors (see below), whose sum is σ = 27753937443840. Its totient is φ = 5026021539840.

The previous prime is 12130322002063. The next prime is 12130322002121. The reversal of 12130322002064 is 46020022303121.

It is not an unprimeable number, because it can be changed into a prime (12130322002063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1771952 + ... + 5234544.

It is an arithmetic number, because the mean of its divisors is an integer number (346924218048).

Almost surely, 212130322002064 is an apocalyptic number.

12130322002064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130322002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876968721920).

12130322002064 is an abundant number, since it is smaller than the sum of its proper divisors (15623615441776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12130322002064 is a wasteful number, since it uses less digits than its factorization.

12130322002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463648 (or 3463642 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12130322002064 its reverse (46020022303121), we get a palindrome (58150344305185).

The spelling of 12130322002064 in words is "twelve trillion, one hundred thirty billion, three hundred twenty-two million, two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1009 1736 2018 3472 4036 7063 8072 14126 16144 28252 31279 56504 62558 113008 125116 218953 250232 437906 500464 875812 1751624 3462593 3503248 6925186 13850372 24238151 27700744 48476302 55401488 96952604 107340383 193905208 214680766 387810416 429361532 751382681 858723064 1502765362 1717446128 3005530724 3493756337 6011061448 6987512674 12022122896 13975025348 24456294359 27950050696 48912588718 55900101392 97825177436 108306446447 195650354872 216612892894 391300709744 433225785788 758145125129 866451571576 1516290250258 1732903143152 3032580500516 6065161001032 12130322002064