Search a number
-
+
12200102222011 = 1121731191323133
BaseRepresentation
bin1011000110001000111011…
…0000100101100010111011
31121012022121002201012112021
42301202032300211202323
53044341302132101021
641540352151055311
72366266622564614
oct261421660454273
947168532635467
1012200102222011
113984041714a00
121450565671537
136a6606c4ca52
143026b94acc0b
15162545337c41
hexb188ec258bb

12200102222011 has 24 divisors (see below), whose sum is σ = 14656882649472. Its totient is φ = 10101861369600.

The previous prime is 12200102221973. The next prime is 12200102222023. The reversal of 12200102222011 is 11022220100221.

It is a happy number.

It is not a de Polignac number, because 12200102222011 - 29 = 12200102221499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12200102222041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95597800 + ... + 95725333.

It is an arithmetic number, because the mean of its divisors is an integer number (610703443728).

Almost surely, 212200102222011 is an apocalyptic number.

12200102222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12200102222011 is a deficient number, since it is larger than the sum of its proper divisors (2456780427461).

12200102222011 is a wasteful number, since it uses less digits than its factorization.

12200102222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191323203 (or 191323192 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12200102222011 its reverse (11022220100221), we get a palindrome (23222322322232).

The spelling of 12200102222011 in words is "twelve trillion, two hundred billion, one hundred two million, two hundred twenty-two thousand, eleven".

Divisors: 1 11 17 31 121 187 341 527 2057 3751 5797 63767 191323133 2104554463 3252493261 5931017123 23150099093 35777425871 65241188353 100827291091 393551684581 717653071883 1109100202001 12200102222011