Search a number
-
+
12130220110217 = 113100918314933
BaseRepresentation
bin1011000010000100100101…
…1101011111000110001001
31120221122012220012002212112
42300201021131133012021
53042220142322011332
641444313550552105
72361244106462426
oct260411135370611
946848186162775
1012130220110217
113957441022000
12143ab02208635
1369cb4b070041
142dd16a3c2d4d
15160805261db2
hexb084975f189

12130220110217 has 32 divisors (see below), whose sum is σ = 13365557080320. Its totient is φ = 11008295020800.

The previous prime is 12130220110189. The next prime is 12130220110219. The reversal of 12130220110217 is 71201102203121.

It is a happy number.

It is not a de Polignac number, because 12130220110217 - 28 = 12130220109961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12130220110192 and 12130220110201.

It is not an unprimeable number, because it can be changed into a prime (12130220110219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2458992083 + ... + 2458997015.

It is an arithmetic number, because the mean of its divisors is an integer number (417673658760).

Almost surely, 212130220110217 is an apocalyptic number.

It is an amenable number.

12130220110217 is a deficient number, since it is larger than the sum of its proper divisors (1235336970103).

12130220110217 is a wasteful number, since it uses less digits than its factorization.

12130220110217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7806 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 12130220110217 its reverse (71201102203121), we get a palindrome (83331322313338).

The spelling of 12130220110217 in words is "twelve trillion, one hundred thirty billion, two hundred twenty million, one hundred ten thousand, two hundred seventeen".

Divisors: 1 11 121 1009 1331 1831 4933 11099 20141 54263 122089 221551 596893 1342979 1847479 2437061 4977397 6565823 9032323 20322269 54751367 99355553 223544959 602265037 1092911083 2458994549 6624915407 9113613907 12022021913 100249752977 1102747282747 12130220110217