Search a number
-
+
12221110331 = 172611634253
BaseRepresentation
bin10110110000110111…
…10101100000111011
31011112201011201200222
423120123311200323
5200012101012311
65340404450255
7611564503163
oct133033654073
934481151628
1012221110331
115201553091
1224509a998b
1311c9c00741
1483d1375a3
154b7d99adb
hex2d86f583b

12221110331 has 24 divisors (see below), whose sum is σ = 13279184304. Its totient is φ = 11241607680.

The previous prime is 12221110309. The next prime is 12221110351. The reversal of 12221110331 is 13301112221.

It is not a de Polignac number, because 12221110331 - 222 = 12216916027 is a prime.

It is a super-2 number, since 2×122211103312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221110351) 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 23 ways as a sum of consecutive naturals, for example, 2871401 + ... + 2875653.

It is an arithmetic number, because the mean of its divisors is an integer number (553299346).

Almost surely, 212221110331 is an apocalyptic number.

12221110331 is a deficient number, since it is larger than the sum of its proper divisors (1058073973).

12221110331 is a wasteful number, since it uses less digits than its factorization.

12221110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12221110331 its reverse (13301112221), we get a palindrome (25522222552).

The spelling of 12221110331 in words is "twelve billion, two hundred twenty-one million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 17 61 163 289 1037 2771 4253 9943 17629 47107 72301 169031 259433 693239 1229117 2873527 4410361 11785063 42287579 74976137 200346071 718888843 12221110331