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12421412421 = 31133110797
BaseRepresentation
bin10111001000101111…
…11011011001000101
31012001200002010111220
423210113323121011
5200414340144141
65412321550553
7616546156245
oct134427733105
935050063456
1012421412421
1152a4622000
1224a7aa5459
13122c5623a2
1485b997b25
154ca763766
hex2e45fb645

12421412421 has 16 divisors (see below), whose sum is σ = 18216833088. Its totient is φ = 7528126320.

The previous prime is 12421412401. The next prime is 12421412429.

It is a happy number.

12421412421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12421412421 - 217 = 12421281349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12421412391 and 12421412400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421412429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551406 + ... + 1559391.

It is an arithmetic number, because the mean of its divisors is an integer number (1138552068).

Almost surely, 212421412421 is an apocalyptic number.

12421412421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12421412421 is a deficient number, since it is larger than the sum of its proper divisors (5795420667).

12421412421 is an equidigital number, since it uses as much as digits as its factorization.

12421412421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110833 (or 3110811 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The spelling of 12421412421 in words is "twelve billion, four hundred twenty-one million, four hundred twelve thousand, four hundred twenty-one".

Divisors: 1 3 11 33 121 363 1331 3993 3110797 9332391 34218767 102656301 376406437 1129219311 4140470807 12421412421