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13316111424 = 2633721117292
BaseRepresentation
bin11000110011011001…
…11011110001000000
31021101000121112211000
430121230323301000
5204232411031144
610041202252000
7650662036200
oct143154736100
937330545730
1013316111424
115713663670
1226b7657000
131342a20c95
14904734400
1552e094769
hex319b3bc40

13316111424 has 1008 divisors, whose sum is σ = 54476660160. Its totient is φ = 3143024640.

The previous prime is 13316111423. The next prime is 13316111443. The reversal of 13316111424 is 42411161331.

13316111424 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 611 + 1 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13316111423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459176242 + ... + 459176270.

Almost surely, 213316111424 is an apocalyptic number.

13316111424 is a gapful number since it is divisible by the number (14) 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 13316111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27238330080).

13316111424 is an abundant number, since it is smaller than the sum of its proper divisors (41160548736).

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

13316111424 is a wasteful number, since it uses less digits than its factorization.

13316111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 69 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 13316111424 its reverse (42411161331), we get a palindrome (55727272755).

The spelling of 13316111424 in words is "thirteen billion, three hundred sixteen million, one hundred eleven thousand, four hundred twenty-four".