Search a number
-
+
12221007271 = 1119314494201
BaseRepresentation
bin10110110000110110…
…11100010110100111
31011112200222111022221
423120123130112213
5200012034213041
65340402333211
7611563563544
oct133033342647
934480874287
1012221007271
115201492710
12245095a207
1311c9b95865
1483d10bbcb
154b7d792d1
hex2d86dc5a7

12221007271 has 32 divisors (see below), whose sum is σ = 14522112000. Its totient is φ = 10160640000.

The previous prime is 12221007269. The next prime is 12221007283. The reversal of 12221007271 is 17270012221.

It is a cyclic number.

It is not a de Polignac number, because 12221007271 - 21 = 12221007269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221007571) 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 31 ways as a sum of consecutive naturals, for example, 2906971 + ... + 2911171.

It is an arithmetic number, because the mean of its divisors is an integer number (453816000).

Almost surely, 212221007271 is an apocalyptic number.

12221007271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12221007271 is a deficient number, since it is larger than the sum of its proper divisors (2301104729).

12221007271 is a wasteful number, since it uses less digits than its factorization.

12221007271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711.

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 12221007271 its reverse (17270012221), we get a palindrome (29491019492).

The spelling of 12221007271 in words is "twelve billion, two hundred twenty-one million, seven thousand, two hundred seventy-one".

Divisors: 1 11 19 31 209 341 449 589 4201 4939 6479 8531 13919 46211 79819 93841 130231 153109 264461 878009 1432541 1886249 2474389 2909071 20748739 27218279 35838731 58473719 394226041 643210909 1111000661 12221007271