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12422387241 = 3211422929671
BaseRepresentation
bin10111001000110111…
…01001011000101001
31012001201220122201100
423210123221120221
5200420112342431
65412354512013
7616560356265
oct134433513051
935051818640
1012422387241
1152a5128440
1224a8295609
13122c813cc4
1485bb6d0a5
154ca8a74e6
hex2e46e9629

12422387241 has 24 divisors (see below), whose sum is σ = 19579959360. Its totient is φ = 7526685600.

The previous prime is 12422387231. The next prime is 12422387251. The reversal of 12422387241 is 14278322421.

12422387241 is a `hidden beast` number, since 12 + 4 + 22 + 387 + 241 = 666.

12422387241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12422387231) and next prime (12422387251).

It is not a de Polignac number, because 12422387241 - 29 = 12422386729 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12422387196 and 12422387205.

It is not an unprimeable number, because it can be changed into a prime (12422387221) 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 23 ways as a sum of consecutive naturals, for example, 403836 + ... + 433506.

It is an arithmetic number, because the mean of its divisors is an integer number (815831640).

Almost surely, 212422387241 is an apocalyptic number.

12422387241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12422387241 is a deficient number, since it is larger than the sum of its proper divisors (7157572119).

12422387241 is a wasteful number, since it uses less digits than its factorization.

12422387241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33917 (or 33914 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 12422387241 in words is "twelve billion, four hundred twenty-two million, three hundred eighty-seven thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 4229 12687 29671 38061 46519 89013 139557 267039 326381 418671 979143 2937429 125478659 376435977 1129307931 1380265249 4140795747 12422387241