Search a number
-
+
12221967329 = 1113637313411
BaseRepresentation
bin10110110000111110…
…00110101111100001
31011112202210021021122
423120133012233201
5200012310423304
65340435102025
7611605002545
oct133037065741
934482707248
1012221967329
115201a88a50
122451141915
1311ca140840
1483d2bba25
154b7eb89be
hex2d87c6be1

12221967329 has 16 divisors (see below), whose sum is σ = 14361998784. Its totient is φ = 10253822400.

The previous prime is 12221967299. The next prime is 12221967343. The reversal of 12221967329 is 92376912221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221967329 is a prime.

It is a super-2 number, since 2×122219673292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12221967329.

It is not an unprimeable number, because it can be changed into a prime (12221967349) 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 15 ways as a sum of consecutive naturals, for example, 904634 + ... + 918044.

It is an arithmetic number, because the mean of its divisors is an integer number (897624924).

Almost surely, 212221967329 is an apocalyptic number.

It is an amenable number.

12221967329 is a deficient number, since it is larger than the sum of its proper divisors (2140031455).

12221967329 is a wasteful number, since it uses less digits than its factorization.

12221967329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19808.

The product of its digits is 163296, while the sum is 44.

The spelling of 12221967329 in words is "twelve billion, two hundred twenty-one million, nine hundred sixty-seven thousand, three hundred twenty-nine".

Divisors: 1 11 13 143 6373 13411 70103 82849 147521 174343 911339 1917773 85468303 940151333 1111087939 12221967329