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12422231024 = 2471711357737
BaseRepresentation
bin10111001000110110…
…00011001111110000
31012001201121201102112
423210123003033300
5200420042343044
65412351304452
7616556135660
oct134433031760
935051551375
1012422231024
1152a5031035
1224a821b128
13122c78ab78
1485bb2c1a0
154ca87609e
hex2e46c33f0

12422231024 has 80 divisors (see below), whose sum is σ = 29382637248. Its totient is φ = 4966219776.

The previous prime is 12422230979. The next prime is 12422231033. The reversal of 12422231024 is 42013222421.

12422231024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124222310242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 186284 + ... + 244020.

Almost surely, 212422231024 is an apocalyptic number.

12422231024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422231024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14691318624).

12422231024 is an abundant number, since it is smaller than the sum of its proper divisors (16960406224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12422231024 is a wasteful number, since it uses less digits than its factorization.

12422231024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57882 (or 57876 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12422231024 its reverse (42013222421), we get a palindrome (54435453445).

The spelling of 12422231024 in words is "twelve billion, four hundred twenty-two million, two hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 113 119 136 226 238 272 452 476 791 904 952 1582 1808 1904 1921 3164 3842 6328 7684 12656 13447 15368 26894 30736 53788 57737 107576 115474 215152 230948 404159 461896 808318 923792 981529 1616636 1963058 3233272 3926116 6466544 6524281 6870703 7852232 13048562 13741406 15704464 26097124 27482812 45669967 52194248 54965624 91339934 104388496 109931248 110912777 182679868 221825554 365359736 443651108 730719472 776389439 887302216 1552778878 1774604432 3105557756 6211115512 12422231024