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12424210013 = 509149316349
BaseRepresentation
bin10111001001000101…
…00110011001011101
31012001212100021002102
423210202212121131
5200421044210023
65412501534445
7616612020425
oct134442463135
935055307072
1012424210013
1152a6162966
1224a8a14425
131230001877
1485c0c5485
154cab17628
hex2e48a665d

12424210013 has 8 divisors (see below), whose sum is σ = 12457719000. Its totient is φ = 12390737728.

The previous prime is 12424209979. The next prime is 12424210027. The reversal of 12424210013 is 31001242421.

12424210013 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 4 ways, for example, as 3797887129 + 8626322884 = 61627^2 + 92878^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12424210013 - 26 = 12424209949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424210093) 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 7 ways as a sum of consecutive naturals, for example, 751763 + ... + 768111.

It is an arithmetic number, because the mean of its divisors is an integer number (1557214875).

Almost surely, 212424210013 is an apocalyptic number.

It is an amenable number.

12424210013 is a deficient number, since it is larger than the sum of its proper divisors (33508987).

12424210013 is a wasteful number, since it uses less digits than its factorization.

12424210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18351.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12424210013 its reverse (31001242421), we get a palindrome (43425452434).

The spelling of 12424210013 in words is "twelve billion, four hundred twenty-four million, two hundred ten thousand, thirteen".

Divisors: 1 509 1493 16349 759937 8321641 24409057 12424210013