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13343004612 = 2235753163227
BaseRepresentation
bin11000110110100111…
…00001011111000100
31021102220012212100000
430123103201133010
5204311302121422
610044002521300
7651436445040
oct143323413704
937386185300
1013343004612
115727861943
122704666230
131348478b02
14908135020
15531607cac
hex31b4e17c4

13343004612 has 288 divisors, whose sum is σ = 41158720512. Its totient is φ = 3701033856.

The previous prime is 13343004611. The next prime is 13343004613. The reversal of 13343004612 is 21640034331.

13343004612 is a `hidden beast` number, since 1 + 3 + 3 + 43 + 0 + 0 + 4 + 612 = 666.

13343004612 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 (13343004611) and next prime (13343004613).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13343004611) 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 95 ways as a sum of consecutive naturals, for example, 58779643 + ... + 58779869.

It is an arithmetic number, because the mean of its divisors is an integer number (142912224).

Almost surely, 213343004612 is an apocalyptic number.

13343004612 is a gapful number since it is divisible by the number (12) 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 13343004612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20579360256).

13343004612 is an abundant number, since it is smaller than the sum of its proper divisors (27815715900).

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

13343004612 is a wasteful number, since it uses less digits than its factorization.

13343004612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13343004612 its reverse (21640034331), we get a palindrome (34983038943).

The spelling of 13343004612 in words is "thirteen billion, three hundred forty-three million, four thousand, six hundred twelve".