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13431024420 = 223511173732353
BaseRepresentation
bin11001000001000110…
…10010101100100100
31021200000211201210220
430200203102230210
5210001320240140
610100425244340
7653555552412
oct144043225444
937600751726
1013431024420
115772510490
12272a0336b0
131360786638
14915ac82b2
155391e2bd0
hex3208d2b24

13431024420 has 192 divisors, whose sum is σ = 44614354176. Its totient is φ = 2981560320.

The previous prime is 13431024413. The next prime is 13431024461. The reversal of 13431024420 is 2442013431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398964 + ... + 431316.

It is an arithmetic number, because the mean of its divisors is an integer number (232366428).

Almost surely, 213431024420 is an apocalyptic number.

13431024420 is a gapful number since it is divisible by the number (10) 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 13431024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22307177088).

13431024420 is an abundant number, since it is smaller than the sum of its proper divisors (31183329756).

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

13431024420 is a wasteful number, since it uses less digits than its factorization.

13431024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32430 (or 32428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13431024420 its reverse (2442013431), we get a palindrome (15873037851).

The spelling of 13431024420 in words is "thirteen billion, four hundred thirty-one million, twenty-four thousand, four hundred twenty".