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12422310241 = 11210928641
BaseRepresentation
bin10111001000110110…
…10110100101100001
31012001201202202002111
423210123112211201
5200420102411431
65412353115321
7616556615635
oct134433264541
935051682074
1012422310241
1152a5085600
1224a8258b41
13122c7b7c43
1485bb4cdc5
154ca88e7b1
hex2e46d6961

12422310241 has 18 divisors (see below), whose sum is σ = 13782287526. Its totient is φ = 11188108800.

The previous prime is 12422310239. The next prime is 12422310247. The reversal of 12422310241 is 14201322421.

12422310241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 990423841 + 11431886400 = 31471^2 + 106920^2 .

It is not a de Polignac number, because 12422310241 - 21 = 12422310239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12422310247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1433281 + ... + 1441921.

Almost surely, 212422310241 is an apocalyptic number.

12422310241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12422310241 is a deficient number, since it is larger than the sum of its proper divisors (1359977285).

12422310241 is an equidigital number, since it uses as much as digits as its factorization.

12422310241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8881 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12422310241 its reverse (14201322421), we get a palindrome (26623632662).

The spelling of 12422310241 in words is "twelve billion, four hundred twenty-two million, three hundred ten thousand, two hundred forty-one".

Divisors: 1 11 109 121 1199 8641 11881 13189 95051 130691 941869 1045561 1437601 10360559 102663721 113966149 1129300931 12422310241