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12424000369 = 112101332
BaseRepresentation
bin10111001001000011…
…10011001101110001
31012001211221121111211
423210201303031301
5200421021002434
65412453240121
7616610155264
oct134441631561
935054847454
1012424000369
1152a602a400
1224a8933041
13122cc5a311
1485c06ccdb
154caac5464
hex2e4873371

12424000369 has 9 divisors (see below), whose sum is σ = 13657480459. Its totient is φ = 11293431160.

The previous prime is 12424000349. The next prime is 12424000423. The reversal of 12424000369 is 96300042421.

It is a happy number.

The square root of 12424000369 is 111463.

It is a perfect power (a square), and thus also a powerful number.

12424000369 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 only one way, i.e., 9965030625 + 2458969744 = 99825^2 + 49588^2 .

It is a de Polignac number, because none of the positive numbers 2k-12424000369 is a prime.

It is a super-2 number, since 2×124240003692 (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 12424000369.

It is not an unprimeable number, because it can be changed into a prime (12424000319) 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 8 ways as a sum of consecutive naturals, for example, 1221027 + ... + 1231159.

Almost surely, 212424000369 is an apocalyptic number.

12424000369 is the 111463-rd square number.

12424000369 is the 55732-nd centered octagonal number.

It is an amenable number.

12424000369 is a deficient number, since it is larger than the sum of its proper divisors (1233480090).

12424000369 is an frugal number, since it uses more digits than its factorization.

12424000369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20288 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 12424000369 in words is "twelve billion, four hundred twenty-four million, three hundred sixty-nine", and thus it is an aban number.

Divisors: 1 11 121 10133 111463 1226093 102677689 1129454579 12424000369